Academic literature on the topic 'Neumann eigenvalues'
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Journal articles on the topic "Neumann eigenvalues":
Benedikt, Jiří. "On the discreteness of the spectra of the Dirichlet and Neumannp-biharmonic problems." Abstract and Applied Analysis 2004, no. 9 (2004): 777–92. http://dx.doi.org/10.1155/s1085337504311115.
Lamberti, Pier Domenico, and Luigi Provenzano. "Neumann to Steklov eigenvalues: asymptotic and monotonicity results." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 147, no. 2 (January 16, 2017): 429–47. http://dx.doi.org/10.1017/s0308210516000214.
Karpukhin, Mikhail A. "The Steklov Problem on Differential Forms." Canadian Journal of Mathematics 71, no. 2 (January 7, 2019): 417–35. http://dx.doi.org/10.4153/cjm-2018-028-6.
Diyab, Farah, and B. Surender Reddy. "Comparison of Laplace Beltrami Operator Eigenvalues on Riemannian Manifolds." European Journal of Mathematics and Statistics 3, no. 5 (October 23, 2022): 55–60. http://dx.doi.org/10.24018/ejmath.2022.3.5.143.
BARBU, LUMINIŢA, and GHEORGHE MOROŞANU. "On a Steklov eigenvalue problem associated with the (p,q)-Laplacian." Carpathian Journal of Mathematics 37, no. 2 (June 9, 2021): 161–71. http://dx.doi.org/10.37193/cjm.2021.02.02.
Li, Wei, and Ping Yan. "Various Half-Eigenvalues of Scalarp-Laplacian with Indefinite Integrable Weights." Abstract and Applied Analysis 2009 (2009): 1–27. http://dx.doi.org/10.1155/2009/109757.
Legendre, Eveline. "Extrema of Low Eigenvalues of the Dirichlet–Neumann Laplacian on a Disk." Canadian Journal of Mathematics 62, no. 4 (August 1, 2010): 808–26. http://dx.doi.org/10.4153/cjm-2010-042-8.
Mihăilescu, Mihai, and Gheorghe Moroşanu. "Eigenvalues of −Δp − Δq Under Neumann Boundary Condition." Canadian Mathematical Bulletin 59, no. 3 (September 1, 2016): 606–16. http://dx.doi.org/10.4153/cmb-2016-025-2.
Ma, Ruyun, Chenghua Gao, and Yanqiong Lu. "Spectrum of Discrete Second-Order Neumann Boundary Value Problems with Sign-Changing Weight." Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/280508.
D'AGUÌ, GIUSEPPINA, and GIOVANNI MOLICA BISCI. "THREE NON-ZERO SOLUTIONS FOR ELLIPTIC NEUMANN PROBLEMS." Analysis and Applications 09, no. 04 (October 2011): 383–94. http://dx.doi.org/10.1142/s021953051100190x.
Dissertations / Theses on the topic "Neumann eigenvalues":
Michetti, Marco. "Steklov and Neumann eigenvalues : inequalities, asymptotic and mixed problems." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0109.
This thesis is devoted to the study of Neumann eigenvalues, Steklov eigenvalues and relations between them. The initial motivation of this thesis was to prove that, in the plane, the product between the perimeter and the first Steklov eigenvalue is always less then the product between the area and the first Neumann eigenvalue. Motivated by finding counterexamples to this inequality, in the first part of this thesis, we give a complete description of the asymptotic behavior of the Steklov eigenvalues in a dumbbell domain consisting of two Lipschitz sets connected by a thin tube with vanishing width. Using these results in the two dimensional case we find that the inequality is not always true. We study the inequality in the convex setting, proving a weaker form of the inequality for all convex domains and proving the inequality for a special class of convex polygons. We then also give the asymptotic behavior for Neumann and Steklov eigenvalues on collapsing convex domains, linking in this way these two eigenvalues with Sturm-Liouville type eigenvalues. In the second part of this thesis, using the results concerning the asymptotic behavior of Neumann eigenvalues on collapsing domains and a fine analysis of Sturm-Liouville eigenfunctions we study the maximization problem of Neumann eigenvalues under diameter constraint. In the last part of the thesis we study the mixed Steklov-Dirichlet. After a first discussion about the regularity properties of the Steklov-Dirichlet eigenfunctions we obtain a stability result for the eigenvalues. We study the optimization problem under a measure constraint on the set in which we impose Steklov boundary conditions, we prove the existence of a minimizer and the non-existence of a maximizer. In the plane we prove a continuity result for the eigenvalues under some topological constraint
Zaveri, Sona. "The second eigenfunction of the Neumann Laplacian on thin regions /." Thesis, Connect to this title online; UW restricted, 2006. http://hdl.handle.net/1773/5748.
Berger, Amandine. "Optimisation du spectre du Laplacien avec conditions de Dirichlet et Neumann dans R² et R³." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAM036/document.
The optimization of Laplacian eigenvalues is a classical problem. In fact, at the end of the nineteenth century, Lord Rayleigh conjectured that the first eigenvalue with Dirichlet boundary condition is minimized by a disk. This problem received a lot of attention since this first study and research possibilities are numerous: various conditions, geometrical constraints added, existence, description of optimal shapes... In this document we restrict us to Dirichlet and Neumann boundary conditions in R^2 and R^3. We begin with a state of the art. Then we focus our study on disks and balls. Indeed, these are some of the only shapes for which it is possible to explicitly and relatively easily compute the eigenvalues. But we show in one of the main result of this document that they are not minimizers for most eigenvalues. Finally we take an interest in the possible numerical experiments. Since we can do very few theoretical computations, it is interesting to get numerical candidates. Then we can deduce some theoretical working assumptions. With this in mind we give some keys to understand our numerical method and we also give some results obtained
Shouman, Abdolhakim. "Comparaison de valeurs propres de Laplaciens et inégalités de Sobolev sur des variétés riemanniennes à densité." Thesis, Tours, 2017. http://www.theses.fr/2017TOUR4034.
The purpose of this thesis is threefold: SOBOLEV INEQUALITIES WITH EXPLICIT CONSTANTS ON A WEIGHTED RIEMANNIAN MANIFOLD OF CONVEX BOUNDARY: We obtain weighted Sobolev inequalities with explicit geometric constants for weighted Riemannian manifolds of positive m-Bakry-Emery Ricci curvature and convex boundary. As a first application, we generalize several results of Riemannian manifolds to the weighted setting. Another application is a new isolation result for the f -harmonic maps. We also give a new and elemantry proof of the well-known Moser-Trudinger-Onofri [Onofri, 1982] inequality for the Euclidean disk
Shouman, Abdolhakim. "Comparaison de valeurs propres de Laplaciens et inégalités de Sobolev sur des variétés riemanniennes à densité." Electronic Thesis or Diss., Tours, 2017. http://www.theses.fr/2017TOUR4034.
The purpose of this thesis is threefold: SOBOLEV INEQUALITIES WITH EXPLICIT CONSTANTS ON A WEIGHTED RIEMANNIAN MANIFOLD OF CONVEX BOUNDARY: We obtain weighted Sobolev inequalities with explicit geometric constants for weighted Riemannian manifolds of positive m-Bakry-Emery Ricci curvature and convex boundary. As a first application, we generalize several results of Riemannian manifolds to the weighted setting. Another application is a new isolation result for the f -harmonic maps. We also give a new and elemantry proof of the well-known Moser-Trudinger-Onofri [Onofri, 1982] inequality for the Euclidean disk
Wang, Tai-Ho, and 王太和. "Inequalities between Dirichlet and Neumann Eigenvalues on Sphere." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/31722351819444475448.
國立交通大學
應用數學研究所
82
Let M be a compact domain in the n-sphere with smooth boundary. Assume that the mean curvature h of the boundary of M is nonpositive. We prove that the k-th Neumann eigenvalue is less than or equal to the k-th Dirichlet eigenvalue of M. Moreover, these inequalites are strict unless the boundary of M is minimal.
Chang, Yu-Chung, and 張有中. "Inequalities Between Dirichlet and Neumann Eigenvalues in the Hyperbolic Space." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/38484808677084606688.
國立交通大學
應用數學研究所
82
In this paper we shall derive an inequality of the form between Dirichlet and Neumann eigenvalues for domains in the hyperbolic space under certain condition which depends upon the mean curvature of boundary.
FU, JUN-JIE, and 傅俊結. "Inequalities between dirichlet and neumann eigenvalues for domains in Sn." Thesis, 1991. http://ndltd.ncl.edu.tw/handle/25752235711685642567.
Wang, Tai-Ho, and 王太和. "Degree identity for harmonic map heat flow and inequalities between Dirichlet and Neumann eigenvalues." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/23021117619745786986.
國立交通大學
應用數學系
88
This thesis is divided into two parts. In the first part, we prove that the degree of the solution to the heat equation for harmonic maps between 2-spheres will be increasing or decreasing by the sum of the degrees of the harmonic spheres through each blow-up time. Thus the degree of the harmonic limit will be precisely determined from the degree of the initial map and the amount of the degrees of finite harmonic spheres. The purpose of the second part is to describe some inequalities between Dirichlet and Neumann eigenvalues for smooth domains in the $n$-sphere under certain convex restrictions on the boundary. We prove that if the mean curvature of the boundary is nonpositive, then the $k$th nonzero Neumann eigenvalue is less than or equal to the $k$th Dirichlet eigenvalue for $k = 1, 2, \cdots $. Furthermore, if the second fundamental form of the boundary is nonpositive, then the $(k+\left[\frac{n-1}{2}\right])$th nonzero Neumann eigenvalue is less than or equal to the $k$th Dirichlet eigenvalue for $k = 1, 2, \cdots $.
Marushka, Viktor. "Propriétés des valeurs propres de ballotement pour contenants symétriques." Thèse, 2012. http://hdl.handle.net/1866/8949.
The study of liquid sloshing in a container is a classical problem of hydrodynamics that has been actively investigated by mathematicians and engineers over the past 150 years. The present thesis is concerned with the properties of eigenfunctions of the two-dimensional sloshing problem on axially symmetric planar domains. Here the axis of symmetry is assumed to be orthogonal to the free surface of the fluid. In particular, we show that the second and the third eigenfunctions of such a problem are, respectively, odd and even with respect to the axial symmetry. There is a well-known conjecture that all eigenvalues of the two-dimensional sloshing problem are simple. Kozlov, Kuznetsov and Motygin [1] proved the simplicity of the first non-zero eigenvalue for domains satisfying the John's condition. In the thesis we show that for axially symmetric planar domains, the first two non-zero eigenvalues of the sloshing problem are simple.
Books on the topic "Neumann eigenvalues":
Edmunds, D. E., and W. D. Evans. Global and Asymptotic Estimates for the Eigenvalues of −Δ + q when q Is Real. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0011.
Edmunds, D. E., and W. D. Evans. Generalized Dirichlet and Neumann Boundary-Value Problems. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0006.
Book chapters on the topic "Neumann eigenvalues":
Burdzy, Krzysztof. "Neumann Eigenfunctions and Eigenvalues." In Lecture Notes in Mathematics, 31–39. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-04394-4_4.
Levine, Howard A., and Hans F. Weinberger. "Inequalities between Dirichlet and Neumann Eigenvalues." In Analysis and Continuum Mechanics, 253–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83743-2_13.
Lamberti, Pier Domenico, and Luigi Provenzano. "Viewing the Steklov Eigenvalues of the Laplace Operator as Critical Neumann Eigenvalues." In Trends in Mathematics, 171–78. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12577-0_21.
Kleefeld, Andreas. "Shape Optimization for Interior Neumann and Transmission Eigenvalues." In Integral Methods in Science and Engineering, 185–96. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-16077-7_15.
Abele, Daniel, and Andreas Kleefeld. "New Numerical Results for the Optimization of Neumann Eigenvalues." In Computational and Analytic Methods in Science and Engineering, 1–20. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-48186-5_1.
Gol’dshtein, Vladimir, Ritva Hurri-Syrjänen, Valerii Pchelintsev, and Alexander Ukhlov. "Space quasiconformal composition operators with applications to Neumann eigenvalues." In Harmonic Analysis and Partial Differential Equations, 141–60. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-25424-6_6.
Bercovici, Hari, and Wing Suet Li. "Inequalities for eigenvalues of sums in a von Neumann algebra." In Recent Advances in Operator Theory and Related Topics, 113–26. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8374-0_6.
Rohleder, Jonathan. "A remark on the order of mixed Dirichlet–Neumann eigenvalues of polygons." In Analysis as a Tool in Mathematical Physics, 570–75. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-31531-3_30.
Yamada, Susumu, Toshiyuki Imamura, and Masahiko Machida. "High Performance LOBPCG Method for Solving Multiple Eigenvalues of Hubbard Model: Efficiency of Communication Avoiding Neumann Expansion Preconditioner." In Supercomputing Frontiers, 243–56. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-69953-0_14.
Ricci, Saverio, Piergiulio Mannocci, Matteo Farronato, Alessandro Milozzi, and Daniele Ielmini. "Development of Crosspoint Memory Arrays for Neuromorphic Computing." In Special Topics in Information Technology, 65–74. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-51500-2_6.
Conference papers on the topic "Neumann eigenvalues":
Ledoux, Veerle, Marnix Van Daele, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Efficient Computation of Sturm-Liouville Eigenvalues using Modified Neumann Schemes." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241408.
Durante, Tiziana. "Waveguides with a box-shaped perturbation: Eigenvalues of the Neumann problem." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2016). Author(s), 2017. http://dx.doi.org/10.1063/1.4992661.
Báez, G., R. A. Méndez-Sánchez, F. Leyvraz, and T. H. Seligman. "A finite element algorithm for high-lying eigenvalues with Neumann and Dirichlet boundary conditions." In SPECIAL TOPICS ON TRANSPORT THEORY: ELECTRONS, WAVES, AND DIFFUSION IN CONFINED SYSTEMS: V Leopoldo García-Colín Mexican Meeting on Mathematical and Experimental Physics. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4862421.
Sarsenbi, Abdisalam A. "On a Green’s function and eigenvalues of a second-order differential operator with involution and Neumann boundary conditions." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE’16): Proceedings of the 42nd International Conference on Applications of Mathematics in Engineering and Economics. Author(s), 2016. http://dx.doi.org/10.1063/1.4968461.
Lamberti, Pier Domenico, and Massimo Lanza de Cristoforis. "Lipschitz Type Inequalities for a Domain Dependent Neumann Eigenvalue Problem for the Laplace Operator." In Proceedings of the 4th International ISAAC Congress. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701732_0018.
Ludvigsen, Arild, and Zhi Yuan Pan. "Extensions and Improvements to the Solutions for Linear Tank Dynamics." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-41805.
Karadeniz, H. "Uncertainty Modelling and Fatigue Reliability Calculation of Offshore Structures With Deteriorated Members." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51403.