A semigroup approach to a class of semilinear parabolic differential equations

DOI10.1016/S0362-546X(97)00718-9zbMath0939.35108MaRDI QIDQ4259708

Thomas Hagen, Janos Turi

Publication date: 19 June 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

well-posednessfractional powers of linear operators

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) One-parameter semigroups and linear evolution equations (47D06)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Semilinear Evolution Equations in Banach Spaces with Application to Parabolic Partial Differential Equations
• Equivalent Norms for Sobolev Spaces
• Norms and Domains of the Complex Powers A B z
• Analytic semigroups and optimal regularity in parabolic problems
• Fractional powers of operators

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