6533b82ffe1ef96bd1295330
RESEARCH PRODUCT
Stability of degenerate parabolic Cauchy problems
Teemu LukkariMikko Parviainensubject
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)description
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 | Communications on pure and applied analysis |