Existence of solutions in some interpolation spaces for a class of semilinear evolution equations with nonlocal initial conditions

DOI10.1155/2013/451252zbMath1446.35064OpenAlexW2068350021WikidataQ59014224 ScholiaQ59014224MaRDI QIDQ362764

Jung-Chan Chang, Hsiang Liu

Publication date: 30 August 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/451252

zbMATH Keywords

sectorial operatormild and strong solutions

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Partial functional-differential equations (35R10) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58)

Related Items (2)

Existence and regularity of mild solutions in some interpolation spaces for functional partial differential equations with nonlocal initial conditions ⋮ Evolution equations with nonlocal initial conditions and superlinear growth

Cites Work

• Existence of classical solutions to nonautonomous nonlocal parabolic problems
• Existence of solutions for a class of neutral partial differential equations with nonlocal conditions in the \(\alpha \)-norm
• Existence of mild solutions for semilinear evolution equations with non-local initial conditions
• Semigroups of linear operators and applications to partial differential equations
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems
• Global existence for semilinear evolution equations with nonlocal conditions
• Functional differential equations with nonlocal initial conditions
• Nonlocal Cauchy problems for semilinear evolution equations
• A remark on the mild solutions of non-local evolution equations
• Nonlocal Cauchy problems governed by compact operator families
• Existence results for a class of abstract nonlocal Cauchy problems
• Nonlinear nonlocal Cauchy problems in Banach spaces
• Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
• Semilinear integrodifferential equations with nonlocal cauchy problem
• Analytic semigroups and optimal regularity in parabolic problems

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