A semigroup approach to the time dependent parabolic initial-boundary value problem

zbMath0758.34048MaRDI QIDQ1199784

Alessandra Lunardi, Wolf von Wahl, Eugenio Sinestrari

Publication date: 16 January 1993

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemuniquenesssolvabilityanalytic semigroupslinear operatorshigher order linear parabolic equationHölder classes of functions

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Linear differential equations in abstract spaces (34G10)

Related Items (15)

Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result ⋮ Multi-dimensional stability analysis of planar travelling waves ⋮ A time dependent parabolic initial boundary value delay problem ⋮ On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative ⋮ The continuity or stability method for nonlinear elliptic and parabolic equations and systems ⋮ On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions ⋮ A fourth-order parabolic equation modeling epitaxial thin film growth ⋮ Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem ⋮ Strongly damped wave problems: bootstrapping and regularity of solutions ⋮ Unnamed Item ⋮ Hölder regularity in variational parabolic non-homogeneous equations ⋮ Stability of travelling waves in a multidimensional free boundary problem ⋮ An initial boundary value problem for parabolic differential-operator equations ⋮ Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D ⋮ Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°

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