6533b86dfe1ef96bd12ca811

RESEARCH PRODUCT

Control of essential supremum of solutions of quasilinear degenerate parabolic equations

S. BonafedeFrancesco Nicolosi

subject

Maximum principleApplied MathematicsBounded functionDegenerate energy levelsMathematical analysisMathematics::Analysis of PDEsCylinderDegenerate equationBoundary (topology)Essential supremum and essential infimumParabolic partial differential equationAnalysisMathematics

description

Sufficient conditions are obtained so that a weak subsolution of a class of quasilinear degenerate parabolic equations, bounded from above on theparabolic boundary of the cylinder Q, turns out to be bounded from above in Q.

https://doi.org/10.1080/00036810108840970