On the second boundary value problem for equations of Monge-Ampère type.
John Urbas (1997)
Journal für die reine und angewandte Mathematik
W.L. Chan, Guo Bao Zhu (1990)
Manuscripta mathematica
Yûsaku Hamada, Gen Nakamura (1977)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Takao Kobayashi (1984)
Mathematische Annalen
Giovanna Citti, Ermanno Lanconelli, Annamaria Montanari (1999)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
In this paper a -regularity result for the strong viscosity solutions to the prescribed Levi-curvature equation is announced. As an application, starting from a result by Z. Slodkowski and G. Tomassini, the -solvability of the Dirichlet problem related to the same equation is showed.
Oldřich John, Jindřich Nečas (1975)
Aplikace matematiky
Ph. Blanchard, J. Stubbe, L. Vázquez (1987)
Annales de l'I.H.P. Physique théorique
Carlos E. Kenig, Gustavo Ponce, Luis Vega (2002)
Annales de l'I.H.P. Analyse non linéaire
Vladimír Ďurikovič (1970)
Matematický časopis
Marvin Zeman (1980)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Petr Harasim (2011)
Applications of Mathematics
We apply a theoretical framework for solving a class of worst scenario problems to a problem with a nonlinear partial differential equation. In contrast to the one-dimensional problem investigated by P. Harasim in Appl. Math. 53 (2008), No. 6, 583–598, the two-dimensional problem requires stronger assumptions restricting the admissible set to ensure the monotonicity of the nonlinear operator in the examined state problem, and, as a result, to show the existence and uniqueness of the state solution....
Gajewski, Herbert (1986)
Equadiff 6
Mauro Nacinovich (1983)
Rendiconti del Seminario Matematico della Università di Padova
Bouchaib Nadir, Alain Piriou (1989)
Journées équations aux dérivées partielles
Patrice Pongérard, Claude Wagschal (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
On se propose d’étudier des équations aux dérivées partielles non linéaires du type de Fuchs au sens de Baouendi-Goulaouic ([1] et [2]) dans des espaces de fonctions suffisamment différentiables par rapport à la variable fuchsienne et dans des espaces de Gevrey par rapport aux autres variables. Les méthodes utilisées reposent sur le formalisme des séries formelles Gevrey développé dans [13] et adapté aux équations du type de Fuchs dans [6] et [7]. On obtient ainsi des théorèmes qui généralisent...
Karl Kunisch, Marcus Wagner (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We consider optimal control problems for the bidomain equations of cardiac electrophysiology together with two-variable ionic models, e.g. the Rogers–McCulloch model. After ensuring the existence of global minimizers, we provide a rigorous proof for the system of first-order necessary optimality conditions. The proof is based on a stability estimate for the primal equations and an existence theorem for weak solutions of the adjoint system.
Ewaryst Rafajłowicz (1984)
Kybernetika
Dix, J.G. (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Jan Bochenek (1972)
Annales Polonici Mathematici
T. Winiarska (1990)
Annales Polonici Mathematici