Fully nonlinear integrodifferential equations in general Banach space

DOI10.1007/BF01160461zbMath0563.45013OpenAlexW2003767543MaRDI QIDQ1057448

Eugenio Sinestrari, Alessandra Lunardi

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173621

zbMATH Keywords

regularityuniquenessCauchy problemevolution equationlocal existenceperturbation methodBanach spacenonlinear Volterra integrodifferential equationsanalytic semigroupparabolic typelocal strict solution

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (15)

On a Class of Fully Nonlinear Parabolic Equations ⋮ Stability in fully nonlinear parabolic equations ⋮ Hölder classes with boundary conditions as interpolation spaces ⋮ A semilinear parabolic Volterra integrodifferential equation ⋮ Global existence for a semilinear parabolic Volterra equation ⋮ Time analyticity for solutions of nonlinear abstract parabolic evolution equations ⋮ Global solution for fully nonlinear parabolic equations in one-dimensional space ⋮ Wellposedness of a nonlinear parabolic-dispersive coupled system modelling MEMS ⋮ Maximal space regularity in nonhoomogeneous initial boundary value parabolic problem ⋮ Long-time behavior of the two-grid finite element method for fully discrete semilinear evolution equations with positive memory ⋮ An inverse problem in the theory of materials with memory ⋮ A unified approach to nonlinear integro-differential inverse problems of parabolic type ⋮ Weak solutions for a class of parabolic Volterra integrodifferential equations ⋮ High order nonlinear parabolic equations ⋮ Unnamed Item

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