Solvability of superlinear fractional parabolic equations
Yohei Fujishima, Kotaro Hisa, Kazuhiro Ishige, Robert Laister
Abstract
Abstract We study necessary conditions and sufficient conditions for the existence of local-in-time solutions of the Cauchy problem for superlinear fractional parabolic equations. Our conditions are sharp and clarify the relationship between the solvability of the Cauchy problem and the strength of the singularities of the initial measure.
Topics & Concepts
MathematicsGravitational singularityInitial value problemParabolic partial differential equationMathematical analysisCauchy distributionCauchy problemMeasure (data warehouse)Partial differential equationComputer scienceDatabaseNonlinear Differential Equations AnalysisNonlinear Partial Differential EquationsFractional Differential Equations Solutions