Results 161 to 170 of about 13,183 (198)

On the Solvability of Double Degenerate Quasilinear Parabolic Equations

Acta Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fisher, Brian, Liu, Z.
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On Systems of Singular Quasilinear Parabolic Equations and Inequalities

Journal of Mathematical Sciences, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitidieri, E., Pokhozhaev, S. I.
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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
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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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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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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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Dimension splitting for quasilinear parabolic equations

IMA Journal of Numerical Analysis, 2009
In the current paper, we derive a rigorous convergence analysis for a broad range of splitting schemes applied to abstract nonlinear evolution equations, including the Lie and Peaceman-Rachford splittings. The analysis is in particular applicable to (possibly degenerate) quasilinear parabolic problems and their dimension splittings.
E. Hansen, A. Ostermann
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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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