Results 181 to 190 of about 1,264,456 (207)

Existence and Regularity Results for Quasilinear Parabolic Equations

2020
Lectures Notes in Pure and Applied Math.
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An Inverse Problem for a Class of Quasilinear Parabolic Equations

SIAM Journal on Mathematical Analysis, 1991
The identification of the source control $q = q(t)$ of one-dimensional quasilinear parabolic equations is considered via additional information on the solution of integral type. Existence, uniqueness, and continuous dependence of the solution upon the data are demonstrated by employing some a priori estimates, compactness arguments, and the strong ...
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Cauchy’s Problem for Degenerate Quasilinear Parabolic Equations

Theory of Probability & Its Applications, 1964
In this paper we consider the differential properties of the solution to the Cauchy problem for the quasilinear parabolic equation \[ (1)\qquad \frac{{\partial v}}{{\partial t}} = \frac{1}{2}\sum\limits_{i,j = 1}^n {c_{ij} } (t,x,v)\frac{{\partial ^2 v}}{{\partial x_i \partial x_i }} + \sum\limits_{i = 1}^n {a_i } (t,x,v)\frac{{\partial v}}{{\partial ...
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Removable Sets for Quasilinear Parabolic Equations

Journal of the London Mathematical Society, 1980
Gariepy, Ronald, Ziemer, William P.
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On classical solutions to degenerate quasilinear parabolic equations

Funkcialaj Ekvacioj, 1984
This paper considers a class of nonlinear, degenerate parabolic equations arising in infiltration problems. Under various assumptions, the existence of classical solutions is established.
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ON QUASILINEAR PARABOLIC EQUATIONS

Russian Mathematical Surveys, 1980
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QUASILINEAR ELLIPTIC-PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1968
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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.
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Time-Periodic Solutions of Quasilinear Parabolic Differential Equations: I. Dirichlet Boundary Conditions

Journal of Mathematical Analysis and Applications, 2001
Gary M Lieberman
exaly  

Global Existence and Blowup Solutions for Quasilinear Parabolic Equations

Journal of Mathematical Analysis and Applications, 2007
Shaohua Chen
exaly