Добірка наукової літератури з теми "Polynomial growth of the norm of the solution u"
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Статті в журналах з теми "Polynomial growth of the norm of the solution u":
KIM, MI-YOUNG. "DISCONTINUOUS GALERKIN METHODS FOR THE LOTKA–MCKENDRICK EQUATION WITH FINITE LIFE-SPAN." Mathematical Models and Methods in Applied Sciences 16, no. 02 (February 2006): 161–76. http://dx.doi.org/10.1142/s0218202506001108.
Oh, Seungly, and Atanas G. Stefanov. "Smoothing and growth bound of periodic generalized Korteweg–De Vries equation." Journal of Hyperbolic Differential Equations 18, no. 04 (December 2021): 899–930. http://dx.doi.org/10.1142/s0219891621500260.
Kohr, Mirela, Simon Labrunie, Hassan Mohsen, and Victor Nistor. "Polynomial estimates for solutions of parametric elliptic equations on complete manifolds." Studia Universitatis Babes-Bolyai Matematica 67, no. 2 (June 8, 2022): 369–82. http://dx.doi.org/10.24193/subbmath.2022.2.13.
Bachmayr, Markus, Albert Cohen, and Giovanni Migliorati. "Sparse polynomial approximation of parametric elliptic PDEs. Part I: affine coefficients." ESAIM: Mathematical Modelling and Numerical Analysis 51, no. 1 (December 23, 2016): 321–39. http://dx.doi.org/10.1051/m2an/2016045.
Johansyah, Muhamad Deni, Asep Kuswandi Supriatna, Endang Rusyaman, and Jumadil Saputra. "The Existence and Uniqueness of Riccati Fractional Differential Equation Solution and Its Approximation Applied to an Economic Growth Model." Mathematics 10, no. 17 (August 23, 2022): 3029. http://dx.doi.org/10.3390/math10173029.
Kumar, Devendra, and Azza M. Alghamdi. "On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation." Demonstratio Mathematica 55, no. 1 (January 1, 2022): 429–36. http://dx.doi.org/10.1515/dema-2022-0030.
Montenegro, Marcelo. "Existence of solution for Kirchhoff model problems with singular nonlinearity." Electronic Journal of Qualitative Theory of Differential Equations, no. 82 (2021): 1–13. http://dx.doi.org/10.14232/ejqtde.2021.1.82.
Vetro, Calogero. "The Existence of Solutions for Local Dirichlet (r(u),s(u))-Problems." Mathematics 10, no. 2 (January 13, 2022): 237. http://dx.doi.org/10.3390/math10020237.
Leung, Man Chun. "Growth Estimates on Positive Solutions of the Equation." Canadian Mathematical Bulletin 44, no. 2 (June 1, 2001): 210–22. http://dx.doi.org/10.4153/cmb-2001-021-5.
Varlamov, Vladimir. "Time estimates for the Cauchy problem for a third-order hyperbolic equation." International Journal of Mathematics and Mathematical Sciences 2003, no. 17 (2003): 1073–81. http://dx.doi.org/10.1155/s0161171203204361.
Дисертації з теми "Polynomial growth of the norm of the solution u":
Mohsen, Hassan. "Estimations uniformes pour des problèmes de transmission à changement de signe : Liens avec les triplets de frontière et la quantification de l’incertitude." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0227.
General description of the domain. The general question that will be pursued as part of the thesis will be to study differential operators on Riemannian spaces and their applications. The Laplace and Dirac operators are among the most important differential operators arising in applications. There are many connections between these two types of operators, due to Lichnerowicz' formula, a French mathematician of the last century. However, Laplace operators have been much more studied than the Dirac operators. Dirac operators, also called Atiyah--Singer operators, are fundamental operators in Riemannian geometry and in index theory. These operators are associated to a metric and a Clifford bundle with an admissible connection. Their generalizations are the main object in Kasparov's theory, which is a fundamental theory in Operator Algebras. It is believed that the Dirac operators will play a central role in Grothendieck's program to generalize the Riemann--Roch theorem to singular algebraic varieties. Dirac operators have therefore been much studied in theoretical mathematics, as well as in its applications. The Maxwell and de Rham operators are special cases of Dirac operators. Dirac operators appear in many applications in other domains of mathematics and theoretical physics, such as field theory in curved space-time or the theory of general relativity. These operators are thus a link between the fundamental mathematics and its applications. Theses subject: There are many results on the analysis of the Dirac operators, but most of them are on smooth compact varieties, with or without boundary. However, it is important to study these operators for non-compact or non-smooth spaces (or varieties). For example, applications to algebraic varieties and to the Grothendieck program require the case of non smooth varieties. The subject we propose to use the results and the techniques introduced by Monique Dauge and her collaborators to study the singularities of the Dirac operators in a polyhedral domain and other singular domains. A particular problem is to obtain the application to the calculation of de Rham's homology with finite complexes, as in the recent works of Douglas Arnold. For the regularity of the solutions of the Dirac equation we propose to use the methods recently introduced by Bernd Amman and Nadine Grosse or by Victor Nistor and Nadine Grosse in recent articles. The thesis will also study the Dirac operators with nonlinear terms and potentials. A concrete problem here is to study nonlinear models coupled with Maxwell's equation, which arrise, for example in magneto-hydrodynamic models and in the Vlasov-Maxwell equation