Results 191 to 200 of about 1,241 (227)

Quasilinear Parabolic Equations in Lp

2006
The paper contains a local existence and uniqueness result for quasilinear parabolic equations on a three-dimensional domain including mixed boundary conditions and discontinuous coefficients.
openaire   +1 more source

Local Solutions of Weakly Parabolic Quasilinear Differential Equations

Mathematische Nachrichten, 1999
AbstractWe consider a quasilinear parabolic boundary value problem, the elliptic part of which degenerates near the boundary. In order to solve this problem, we approximate it by a system of linear degenerate elliptic boundary value problems by means of semidiscretization with respect to time.
Dreher, Michael, Pluschke, Volker
openaire   +1 more source

Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations

Nonlinear Analysis: Theory, Methods & Applications, 1988
The author studies the qualitative properties of the solutions v of an abstract ordinary differential equation of the form \[ (1)\quad v'+A(t,v)v=F(t,v), \] where A(t,v) is the infinitesimal generator of an analytic semigroup in a Banach space. Under suitable Hölder continuity assumptions on A and F, several properties of the solutions v of (1) are ...
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Monotone solutions to quasilinear parabolic equations

Siberian Mathematical Journal, 1993
General quasilinear parabolic equations on a bounded domain in \(\mathbb{R}^ N\) under linear boundary conditions are considered. Due to the maximum principle, the solution flows of such equations belong to the class of strongly monotone (order preserving) dynamical systems.
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Nonlocal Problems for Quasilinear Parabolic Equations

2002
We study a class of quasilinear parabolic equations with nonlocal initial conditions. The initial conditions are a generalization of periodicity with respect to time and include conditions studied by other authors, which can be used to study inverse problems and problems arising in reactor theory.
openaire   +1 more source

Removable Sets for Quasilinear Parabolic Equations

Journal of the London Mathematical Society, 1980
Gariepy, Ronald, Ziemer, William P.
openaire   +2 more sources

ON QUASILINEAR PARABOLIC EQUATIONS

Russian Mathematical Surveys, 1980
openaire   +3 more sources

QUASILINEAR ELLIPTIC-PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1968
openaire   +1 more source

Quasilinear parabolic equations in \(C^ k\) spaces

1997
Summary: We study abstract quasilinear parabolic equations by a perturbation method. We apply our results to equations and systems of physical interest, with data in spaces of \(C^k\) functions.
openaire   +2 more sources

Improved training of physics-informed neural networks for parabolic differential equations with sharply perturbed initial conditions

Computer Methods in Applied Mechanics and Engineering, 2023
Yifei Zong, Qizhi He, Alexandre M Tartakovsky   +2 more
exaly