Results 141 to 150 of about 1,209,265 (177)

Generalized Quasilinearization for Quasilinear Parabolic Equations with Nonlinearities of DC Type

Journal of Optimization Theory and Applications, 2001
The authors consider an initial-boundary value problem for a class of quasilinear parabolic equations whose lower-order nonlinearity is of d.c. function type (difference of two convex functions) with respect to the dependent variable. Combining the method of quasilinearization with the well-known method of upper and lower solutions together with the ...
Carl, S., Lakshmikantham, V.
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On the Solvability of Double Degenerate Quasilinear Parabolic Equations

Acta Mathematica Hungarica, 2002
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Fisher, Brian, Liu, Z.
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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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On Systems of Singular Quasilinear Parabolic Equations and Inequalities

Journal of Mathematical Sciences, 2003
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Mitidieri, E., Pokhozhaev, S. I.
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Existence and Regularity Results for Quasilinear Parabolic Equations

2020
Lectures Notes in Pure and Applied Math.
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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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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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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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