Academic literature on the topic 'Divergence form operators'
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Journal articles on the topic "Divergence form operators"
Milakis, Emmanouil, and Tatiana Toro. "Divergence form operators in Reifenberg flat domains." Mathematische Zeitschrift 264, no. 1 (November 14, 2008): 15–41. http://dx.doi.org/10.1007/s00209-008-0450-2.
Full textBarlow, Martin T., and Richard F. Bass. "Divergence Form Operators on Fractal-like Domains." Journal of Functional Analysis 175, no. 1 (August 2000): 214–47. http://dx.doi.org/10.1006/jfan.2000.3597.
Full textBoccardo, L., and B. Dacorogna. "Monotonicity of certain differential operators in divergence form." Manuscripta Mathematica 64, no. 2 (June 1989): 253–60. http://dx.doi.org/10.1007/bf01160123.
Full textBarlow, Martin T. "On the Liouville Property for Divergence Form Operators." Canadian Journal of Mathematics 50, no. 3 (June 1, 1998): 487–96. http://dx.doi.org/10.4153/cjm-1998-026-9.
Full textSong, Liang, and Ming Xu. "VMO spaces associated with divergence form elliptic operators." Mathematische Zeitschrift 269, no. 3-4 (September 3, 2010): 927–43. http://dx.doi.org/10.1007/s00209-010-0774-6.
Full textMaekawa, Yasunori, and Hideyuki Miura. "On domain of Poisson operators and factorization for divergence form elliptic operators." manuscripta mathematica 152, no. 3-4 (June 13, 2016): 459–512. http://dx.doi.org/10.1007/s00229-016-0858-7.
Full textter Elst, A. F. M., and Derek W. Robinson. "High order divergence-form elliptic operators on Lie groups." Bulletin of the Australian Mathematical Society 55, no. 2 (April 1997): 335–48. http://dx.doi.org/10.1017/s0004972700034006.
Full textOkazawa, Noboru. "Sectorialness of second order elliptic operators in divergence form." Proceedings of the American Mathematical Society 113, no. 3 (March 1, 1991): 701. http://dx.doi.org/10.1090/s0002-9939-1991-1072347-4.
Full textRozkosz, Andrzej. "Weak convergence of diffusions corresponding to divergence form operators." Stochastics and Stochastic Reports 57, no. 1-2 (August 1996): 129–57. http://dx.doi.org/10.1080/17442509608834055.
Full textMiyazaki, Yoichi. "Schauder theory for Dirichlet elliptic operators in divergence form." Journal of Evolution Equations 13, no. 2 (March 27, 2013): 443–80. http://dx.doi.org/10.1007/s00028-013-0186-2.
Full textDissertations / Theses on the topic "Divergence form operators"
Zheng, Hao. "Obstacle problems with elliptic operators in divergence form." Diss., Kansas State University, 2014. http://hdl.handle.net/2097/18279.
Full textDepartment of Mathematics
Ivan Blank
Under the guidance of Dr. Ivan Blank, I study the obstacle problem with an elliptic operator in divergence form. First, I give all of the nontrivial details needed to prove a mean value theorem, which was stated by Caffarelli in the Fermi lectures in 1998. In fact, in 1963, Littman, Stampacchia, and Weinberger proved a mean value theorem for elliptic operators in divergence form with bounded measurable coefficients. The formula stated by Caffarelli is much simpler, but he did not include the proof. Second, I study the obstacle problem with an elliptic operator in divergence form. I develop all of the basic theory of existence, uniqueness, optimal regularity, and nondegeneracy of the solutions. These results allow us to begin the study of the regularity of the free boundary in the case where the coefficients are in the space of vanishing mean oscillation (VMO).
Aryal, Ashok. "Geometry of mean value sets for general divergence form uniformly elliptic operators." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/36205.
Full textDepartment of Mathematics
Ivan Blank
In the Fermi Lectures on the obstacle problem in 1998, Caffarelli gave a proof of the mean value theorem which extends to general divergence form uniformly elliptic operators. In the general setting, the result shows that for any such operator L and at any point [chi]₀ in the domain, there exists a nested family of sets { D[subscript]r([chi]₀) } where the average over any of those sets is related to the value of the function at [chi]₀. Although it is known that the { D[subscript]r([chi]₀) } are nested and are comparable to balls in the sense that there exists c, C depending only on L such that B[subscript]cr([chi]₀) ⊂ D[subscript]r([chi]₀) ⊂ B[subscript]Cr([chi]₀) for all r > 0 and [chi]₀ in the domain, otherwise their geometric and topological properties are largely unknown. In this work we begin the study of these topics and we prove a few results about the geometry of these sets and give a couple of applications of the theorems.
Trey, Baptiste. "Existence et régularité des formes optimales pour des problèmes d'optimisation spectrale Free boundary regularity for a multiphase shape optimization problem. Communications in Partial Dfferential Equations Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form Existence and regularity of optimal shapes for elliptic operators with drift. Calculus of Variations and Partial Differential Equations." Thesis, Université Grenoble Alpes, 2020. http://www.theses.fr/2020GRALM019.
Full textIn this thesis, we study the existence and the regularity of optimal shapes for some spectral optimization problems involving an elliptic operator with Dirichlet boundary condition.First of all, we consider the problem of minimizing the principal eigenvalue of an operator with bounded drift under inclusion and volume constraints.Whether the drift is fixed or not, this problem admits solutions among the class of quasi-open sets, and if the drift is furthermore the gradient of a Lipschitz continuous function, then the solutions are open sets and C^{1,alpha}-regular except on a set of exceptional points.Next, we study in dimension two the regularity of the solutions to a multi-phase optimization problem for the first eigenvalue of the Dirichlet Laplacian.Finally, we focus on the optimal sets for the sum of the first k eigenvalues of an operator in divergence form. We prove that the first k eigenfunctions on an optimal set are Lipschitz continuous so that the optimal sets are open sets, and we then study the regularity of the boundary of the optimal sets
Aleksanyan, Hayk. "Periodic homogenization of Dirichlet problem for divergence type elliptic operators." Thesis, University of Edinburgh, 2015. http://hdl.handle.net/1842/15958.
Full textMartinez, Miguel. "INTERPRETATIONS PROBABILISTES D'OPERATEURS SOUS FORME DIVERGENCE ET ANALYSE DE METHODES NUMERIQUES ASSOCIEES." Phd thesis, Université de Provence - Aix-Marseille I, 2004. http://tel.archives-ouvertes.fr/tel-00006472.
Full textPerrin, Nicolas. "Méthodes stochastiques en dynamique moléculaire." Thesis, Nice, 2013. http://www.theses.fr/2013NICE4011/document.
Full textThis thesis presents two independent research topics. Both are related to the application of stochastic problems to molecular dynamics. In the first part, we present a work related to the probabilistic interpretation of the Poisson-Boltzmann equation. This equation describes the electrostatic potential of a molecular system. After an introduction to the Poisson-Boltzmann equation, we focus on the parabolic and linear equation. After extending an existence and uniqueness result for backward stochastic differential equations, we establish a probabilistic interpretation of the nonlinear Poisson-Boltzmann equation with backward stochastic differential equations. Finally, in a more prospective second part, we initiate a study of a slow and fast variables detection method due to Paul Malliavin
Battaglia, Erika. "Famiglie Normali per Operatori Sub-ellittici e i Teoremi di Montel e Koebe." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5712/.
Full textQAFSAOUI, MAHMOUD. "Operateurs elliptiques d'ordre superieur sous forme divergence a coefficients peu reguliers, estimations gaussiennes de leurs noyaux de la chaleur et applications." Amiens, 1999. http://www.theses.fr/1999AMIE0102.
Full textAlharbi, Abdulrahman. "On the Lp-Integrability of Green’s function for Elliptic Operators." Thesis, 2019. http://hdl.handle.net/10754/655516.
Full textMorris, Andrew Jordan. "Local Hardy spaces and quadratic estimates for Dirac type operators on Riemannian manifolds." Phd thesis, 2010. http://hdl.handle.net/1885/8864.
Full textBooks on the topic "Divergence form operators"
Ryan, Jennifer D. Diversity and Divergence in the Improvisational Evolution of Literary Genres. Edited by Benjamin Piekut and George E. Lewis. Oxford University Press, 2014. http://dx.doi.org/10.1093/oxfordhb/9780199892921.013.010.
Full textPrah Ruger, Jennifer. Divergent Perspectives in Global Health Governance. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199694631.003.0005.
Full textIsett, Philip. Transport-Elliptic Estimates. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0027.
Full textMann, Peter. Legendre Transforms. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0033.
Full textSabino, Cassese. 3 The Administrative State in Europe. Oxford University Press, 2017. http://dx.doi.org/10.1093/law/9780198726401.003.0003.
Full textBook chapters on the topic "Divergence form operators"
Stroock, Daniel W. "Diffusion semigroups corresponding to uniformly elliptic divergence form operators." In Lecture Notes in Mathematics, 316–47. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0084145.
Full textGhergu, Marius, and Vicenţiu D. Rǎdulescu. "Liouville Type Theorems for Elliptic Operators in Divergence Form." In Springer Monographs in Mathematics, 19–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-22664-9_2.
Full textHieber, Matthias. "H∞-Calculus for Second Order Elliptic Operators in Divergence Form." In Partial Differential Operators and Mathematical Physics, 185–89. Basel: Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9092-2_20.
Full textSaloff-Coste, L. "Parabolic Harnack inequality for divergence form second order differential operators." In Potential Theory and Degenerate Partial Differential Operators, 429–67. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0085-4_9.
Full textMcOwen, Robert. "On Elliptic Operators in Nondivergence and in Double Divergence Form." In Analysis, Partial Differential Equations and Applications, 159–69. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-9898-9_13.
Full textTalay, Denis. "On Probabilistic Analytical and Numerical Approaches for Divergence Form Operators with Discontinuous Coefficients." In Advances in Numerical Simulation in Physics and Engineering, 267–96. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02839-2_7.
Full textChorwadwala, Anisa M. H., and Souvik Roy. "Placement of an Obstacle for Optimizing the Fundamental Eigenvalue of Divergence Form Elliptic Operators." In Advances in Mechanics and Mathematics, 157–83. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-90051-9_6.
Full textKaliyeva, Kulyash. "Energy Conservation Law for the Turbulent Motion in the Free Atmosphere." In Advances in Systems Analysis, Software Engineering, and High Performance Computing, 105–38. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-8823-0.ch003.
Full textSteane, Andrew M. "Further useful ideas." In Relativity Made Relatively Easy Volume 2, 133–43. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895646.003.0011.
Full textKellerbauer, Manuel. "Chapter 3 Approximation of Laws." In The EU Treaties and the Charter of Fundamental Rights. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198759393.003.211.
Full textConference papers on the topic "Divergence form operators"
Singh, Kriti, Fahd Siddiqui, Daniel Braga, Mohammadreza Kamyab, Curtis Cheatham, and Brian Harclerode. "ROP Optimization using a Hybrid Machine Learning and Physics-Based Multivariate Objective Function with Real-Time Vibration and Stick-Slip Filters." In IADC/SPE International Drilling Conference and Exhibition. SPE, 2022. http://dx.doi.org/10.2118/208751-ms.
Full textZhang, Jun, Emmanuelle Merced, Nelson Sepúlveda, and Xiaobo Tan. "Optimal Compression of a Generalized Prandtl-Ishlinskii Operator in Hysteresis Modeling." In ASME 2013 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/dscc2013-3969.
Full textHiremath, Nandeesh, Dhwanil Shukla, Emily Hale, Taylor Sparacello, and Narayanan Komerath. "Slung Load Amplification Detector." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-70252.
Full textKuhlman, Luke Ray, Travis Gideon Thomas, John Carlton Pursell, Noah Anderson Buck, and Kayla Renee Scherer. "Optimizing Drillouts Using Live TFA." In SPE/ICoTA Well Intervention Conference and Exhibition. SPE, 2022. http://dx.doi.org/10.2118/208999-ms.
Full textFalabretti, D., M. Delfanti, M. Merlo, J. M. Zaldivar, and F. Strozzi. "Divergence operator for the stability assessment of a microgrid weakly connected to the power system." In 2010 14th International Conference on Harmonics and Quality of Power (ICHQP). IEEE, 2010. http://dx.doi.org/10.1109/ichqp.2010.5625449.
Full textPradeep, A. M., Bhaskar Roy, V. Vaibhav, and D. Srinuvasu. "Study of Gas Turbine Exhaust Diffuser Performance and Its Enhancement by Shape Modifications." In ASME Turbo Expo 2010: Power for Land, Sea, and Air. ASMEDC, 2010. http://dx.doi.org/10.1115/gt2010-22088.
Full textSou, Akira, Kosuke Hayashi, and Tsuyoshi Nakajima. "Evaluation of Volume Tracking Algorithms for Gas-Liquid Two-Phase Flows." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45164.
Full textDebnath, Pinku, and K. M. Pandey. "Performance Investigation on Single Phase Pulse Detonation Engine Using Computational Fluid Dynamics." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66274.
Full textChoquette, Jeremie J., Sylvain Cornu, Mohamed ElSeify, and Raymond Karé. "Understanding Pipeline Strain Conditions: Case Studies Between ILI Axial and ILI Bending Measurement Techniques." In 2018 12th International Pipeline Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/ipc2018-78577.
Full textChanchlani, Kuldeep, Ranjit Gogoi, Sukumar Awasthi, Deepak Gunwant, and Nikhil Khanduja. "Divergence of Dynamometer Card Analysis from Actual Field Results at Light and Heavy Oil Fields of Mehsana." In ADIPEC. SPE, 2022. http://dx.doi.org/10.2118/211547-ms.
Full textReports on the topic "Divergence form operators"
Kira, Beatriz, Rutendo Tavengerwei, and Valary Mumbo. Points à examiner à l'approche des négociations de Phase II de la ZLECAf: enjeux de la politique commerciale numérique dans quatre pays d'Afrique subsaharienne. Digital Pathways at Oxford, March 2022. http://dx.doi.org/10.35489/bsg-dp-wp_2022/01.
Full textLewis, Dustin. Three Pathways to Secure Greater Respect for International Law concerning War Algorithms. Harvard Law School Program on International Law and Armed Conflict, 2020. http://dx.doi.org/10.54813/wwxn5790.
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