Journal ArticleDOI
Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen
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This article is published in Mathematische Nachrichten.The article was published on 1975-01-01. It has received 637 citations till now.read more
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On the basic equations for carrier transport in semiconductors
H Gajewski,K Gröger +1 more
TL;DR: Etude analytique du problems de valeur aux limites for un systeme d'equations aux derivees partielles decrivant le transport des porteurs de charge dans un semiconducteur.
Journal ArticleDOI
Vanishing Shear Viscosity Limit in the Magnetohydrodynamic Equations
TL;DR: In this article, an initial boundary value problem for the equations of plane magnetohydrodynamic compressible flows was studied, and it was shown that as the shear viscosity goes to zero, global weak solutions converge to a solution of the original equations with zero shear viscosity.
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Dynamical Systems Method for Solving Operator Equations
TL;DR: In this article, the authors present DSM for well-posed problems, DSM for illposed problems and DSM for linear ill-posed problem, DSM in Banach spaces, DSM and unbounded operators and DSM and nonsmooth operators.
Journal ArticleDOI
On a nonlocal phase separation model
Herbert Gajewski,Klaus Zacharias +1 more
TL;DR: In this paper, an alternative to the Cahn-Hilliard model of phase separation for two-phase systems in a simplified isothermal case is given, derived from a free energy with a nonlocal interacting term and allowing reasonable bounds for the concentrations.
Journal ArticleDOI
Large Time Behavior via the Method of ℓ-Trajectories
Josef Málek,Dalibor Pražák +1 more
TL;DR: In this article, the method of l-trajectories is used to study the large-time behavior of nonlinear evolutionary systems, where solutions suffer from lack of regularity or when the leading elliptic operator is nonlinear.