Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions

DOI10.1186/1687-1847-2012-79zbMath1294.34062OpenAlexW2133120695WikidataQ59289353 ScholiaQ59289353MaRDI QIDQ2448061

Hongxia Fan, Pengyu Chen, Yongxiang Li

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-79

zbMATH Keywords

existenceevolution equationstrong solutionanalytic semigroupsnonlocal initial condition

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

Evolution equations with nonlocal initial conditions and superlinear growth ⋮ Curvature-driven diffusion-based mathematical image registration models ⋮ Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition

Cites Work

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