Results 191 to 200 of about 1,312 (223)

Some quasilinear parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1991
The author is concerned with finding \(u\in L^ q(0,T,W_ 0^{1,q}(\Omega))\) satisfying an equation of the form \(A(t)u+F(u,Du)=S\) with \(S\) and \(u(0)\) given and \(A(t)\) a quasilinear parabolic operator. The author remarks that in two cases results concerning existence have already been obtained, specifically when \(S\in L^{p'}(0,T,W^{- 1,p'}(\Omega)
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A Strongly Degenerate Quasilinear Equation: the Parabolic Case

Archive for Rational Mechanics and Analysis, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreu, Fuensanta, Caselles, Vicent, Mazón, José M.   +2 more
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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.
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Existence and Regularity Results for Quasilinear Parabolic Equations

2020
Lectures Notes in Pure and Applied Math.
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QUASILINEAR ELLIPTIC AND PARABOLIC EQUATIONS OF ARBITRARY ORDER

Russian Mathematical Surveys, 1968
This paper is a survey of recent results on the solution of boundary value problems for quasilinear elliptic and parabolic equations of order 2m, of divergent form. The main results in this direction were first obtained in 1961 by Vishik, Browder, the author and others, and are presented in the first part of the paper.
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Summability of semicontinuous super solutions to a quasilinear parabolic equation

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009
The authors study the so-called \(p\)-superparabolic functions which are defined as lower semicontinuous supersolutions of the partial differential equation \[ \frac{\partial u}{\partial t}=\text{div}\left( \left| \nabla u\right| ^{p-2}\nabla u\right ...
Lindqvist, Peter, Kinnunen, Juha
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An Inverse Problem for a Class of Quasilinear Parabolic Equations

SIAM Journal on Mathematical Analysis, 1991
Summary: 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 ...
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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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DIFFEOMORPHISMS OF FUNCTION SPACES CORRESPONDING TO QUASILINEAR PARABOLIC EQUATIONS

Mathematics of the USSR-Sbornik, 1983
Translation from Mat. Sb., Nov. Ser. 117(159), No.3, 359-378 (Russian) (1982; Zbl 0501.35046).
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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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