Regularity for evolution equations with nonlocal initial conditions

DOI10.1007/s13398-017-0395-6zbMath1458.35243OpenAlexW2605059203MaRDI QIDQ1742921

Pengyu Chen, Yongxiang Li, Xuping Zhang

Publication date: 12 April 2018

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0395-6

zbMATH Keywords

fixed point theoremnonlocal initial conditionsemilinear evolution equationscompact analytic semigroup

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Abstract parabolic equations (35K90) Nonlinear evolution equations (47J35) Strong solutions to PDEs (35D35)

Related Items (4)

On solutions of a class of neutral evolution equations with discrete nonlocal conditions ⋮ Existence of asymptotically periodic solutions for semilinear evolution equations with nonlocal initial conditions ⋮ Existence results of solutions for a neutral evolution equation with nonlocal conditions on infinite interval ⋮ Existence and asymptotic properties of solutions of an integro-differential evolution equation with nonlocal conditions on infinite interval

Cites Work

• Unnamed Item
• Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions
• Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions
• Existence of classical solutions to nonautonomous nonlocal parabolic problems
• Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces
• Semilinear evolution inclusions with nonlocal conditions
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Existence and uniqueness of a classical solution to a functional-differential abstract nonlocal Cauchy problem
• Infinite-dimensional dynamical systems in mechanics and physics.
• Existence of solutions for neutral functional differential evolution equations with nonlocal conditions.
• Nonlocal Cauchy problems governed by compact operator families
• Nonlocal Cauchy problems for nonautonomous evolution equations
• Existence of periodic solutions of semilinear evolution equations with time lags
• Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems

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