Search results for "Cauchy problems"

showing 2 items of 2 documents

Existence results and asymptotic behavior for nonlocal abstract Cauchy problems

2008

AbstractThe purpose of this paper is to study the existence and asymptotic behavior of solutions for Cauchy problems with nonlocal initial datum generated by accretive operators in Banach spaces.

Cauchy problemPure mathematicsm-Accretive operatorsNonlocal Cauchy problemsApplied MathematicsMathematical analysisBanach spaceMathematics::Analysis of PDEsGeodetic datumCauchy distributionIntegral solutionsAsymptotic behaviorAnalysisMathematicsJournal of Mathematical Analysis and Applications
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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
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