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Displaying 81 – 90 of 90

On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics

Marvin Zeman (1980)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients

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....

On uniqueness and stability of steady-state carrier distributions in semiconductors

Gajewski, Herbert (1986)

Equadiff 6

On weighted estimated for some systems of partial differential operators

Mauro Nacinovich (1983)

Rendiconti del Seminario Matematico della Università di Padova

Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses

Bouchaib Nadir, Alain Piriou (1989)

Journées équations aux dérivées partielles

Opérateurs de Fuchs non linéaires

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...

Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions

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.

Displaying 81 – 90 of 90

On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics

On the worst scenario method: Application to a quasilinear elliptic 2D-problem with uncertain coefficients

On uniqueness and stability of steady-state carrier distributions in semiconductors

On weighted estimated for some systems of partial differential operators

Ondes semi-linéaires conormales classiques par rapport à deux hypersurfaces transverses

Opérateurs de Fuchs non linéaires

Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions

Optimization of measurements for state estimation in parabolic distributed systems

Oscillation of solutions to a higher-order neutral PDE with distributed deviating arguments.

Oscillation theorems and nodes of eigenfunctions of certain differential equations of the fourth order

Currently displaying 81 – 90 of 90