Paralinearization of the Muskat Equation and Application to the Cauchy Problem
Thomas Alazard, Omar Lazar
Topics & Concepts
MathematicsSobolev spaceCauchy problemInitial value problemSimple (philosophy)HomogeneousMathematical analysisCauchy distributionApplied mathematicsParabolic partial differential equationPartial differential equationEvolution equationHeat equationCauchy boundary conditionComplex systemHyperbolic partial differential equationHomogeneous differential equationPure mathematicsElliptic partial differential equationDomain (mathematical analysis)Well-posed problemStability and Controllability of Differential EquationsMathematical Analysis and Transform MethodsNumerical methods in inverse problems