Search results for " 35K15"

showing 1 items of 1 documents

Stability of degenerate parabolic Cauchy problems

2015

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.

Trace (linear algebra)Applied MathematicsDegenerate energy levelsMathematical analysista111nonlinear parabolic equationsCauchy distribution35K55 35K15stabilityStability (probability)Nonlinear systemMathematics - Analysis of PDEsBarenblatt solutionsExponentFOS: MathematicsInitial value problemLimit (mathematics)initial value problemsCauchy problemsAnalysisMathematicsAnalysis of PDEs (math.AP)Communications on pure and applied analysis
researchProduct