Differential and Integral Equations

Global Sobolev Solutions of Quasilinear Parabolic Equations

Kevin McLeod and Albert Milani

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Abstract

We prove that the quasilinear parabolic initial-boundary value problem (1.1) below is globally well-posed in a class of high order Sobolev solutions.

Article information

Source
Differential Integral Equations, Volume 11, Number 3 (1998), 521-550.

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341066

Mathematical Reviews number (MathSciNet)
MR1745553

Zentralblatt MATH identifier
1004.35068

Subjects
Primary: 35B45: A priori estimates 35B60: Continuation and prolongation of solutions [See also 58A15, 58A17, 58Hxx] 35B65: Smoothness and regularity of solutions 35K55: Nonlinear parabolic equations 35K60: Nonlinear initial value problems for linear parabolic equations

Citation

McLeod, Kevin; Milani, Albert. Global Sobolev Solutions of Quasilinear Parabolic Equations. Differential Integral Equations 11 (1998), no. 3, 521--550. https://projecteuclid.org/euclid.die/1367341066


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