Neue Resolventenabschätzungen für elliptische Differentialoperatoren und semilineare parabolische Gleichungen
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Publication:1258452
DOI10.1007/BF02993019zbMath0408.35031MaRDI QIDQ1258452
Publication date: 1977
Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)
Classical SolutionDirichlet Boundary ConditionWeak SolutionElliptic Differential OperatorEvolution OperatorResolvent EstimationsSemilinear Parabolic Equation
Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Higher-order elliptic equations (35J30)
Related Items (5)
Existence of regular solutions for semilinear parabolic integro- differential equations ⋮ Maximal time regularity for degenerate evolution integro-differential equations ⋮ On the behaviour of singular semigroups in intermediate and interpolation spaces and its applications to maximal regularity for degenerate integro-differential evolution equations ⋮ Optimal time and space regularity for solutions of degenerate differential equations ⋮ Über die Existenz klassischer Lösungen semilinearer parabolischer Differentialgleichungen höherer Ordnung
Cites Work
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- On the spectral theory of elliptic differential operators. I
- Lineare und semilineare parabolische Differentialgleichungen in Räumen Hölderstetiger Funktionen
- Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertprobleme
- Einige Bemerkungen zu meiner Arbeit 'Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen'
- Linear and quasilinear elliptic equations
- Über semilineare elliptische Differentialgleichungen zweiter Ordnung
- Über quasilineare elliptische Differentialgleichungen in der Ebene
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
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