Results 181 to 190 of about 953 (219)

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.
openaire   +2 more sources

Removable Singularities and Quasilinear Parabolic Equations

Proceedings of the London Mathematical Society, 1984
On etablit un theoreme sur les singularites eliminables pour des equations parabiliques ...
openaire   +2 more sources

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.
openaire   +1 more source

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.
openaire   +2 more sources

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)
openaire   +2 more sources

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
openaire   +1 more source

Existence results for some quasilinear parabolic equations

Nonlinear Analysis: Theory, Methods & Applications, 1989
A quasilinear parabolic equation is considered. Minimal regularity of the data and a natural growth condition are assumed. It is shown that if there exist a subsolution \(\phi\) and a supersolution \(\psi\) such that \(\phi\leq \psi\), then there exists at least one weak solution u such that \(\phi\leq u\leq \psi\).
BOCCARDO, Lucio, François Murat, Jean Pierre Puel   +2 more
openaire   +3 more sources

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

Existence and Regularity Results for Quasilinear Parabolic Equations

2020
Lectures Notes in Pure and Applied Math.
openaire   +2 more sources

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
openaire   +3 more sources