Stability of degenerate parabolic Cauchy problems

2014/01/13 by Teemu Lukkari, Lukkari, Teemu, Mikko Parviainen +1
Mathematics · #35K15 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K15 #msc:35K55

paper · pdf · doi:10.48550/arxiv.1401.2772

arxiv created 2014/01/13 · arxiv updated 2014/01/14

Abstract

We prove that solutions to Cauchy problems related to the p-parabolic equations are stable with respect to the nonlinearity exponent p. More specifically, solutions with a fixed initial trace converge in an L^q-space to a solution of the limit problem as p>2 varies.

Related

• Stability of parabolic equations in non-cylindrical domains
• On a nonlinear parabolic problem: Stability properties of Ground States
• Regularity for Fully Nonlinear P-Laplacian Parabolic Systems: the Degenerate Case
• A geometric tangential approach to sharp regularity for degenerate evolution equations
• Stability of solutions of quasilinear parabolic equations