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Publication:3027518
zbMath0625.35045MaRDI QIDQ3027518
Publication date: 1984
Full work available at URL: http://www.numdam.org/item?id=ASNSP_1984_4_11_4_593_0
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regularityexistencemild solutionsclassical solutionsinterpolation spacessemigroup methodssemilinearabstract problemtime dependent boundary conditions
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Cites Work
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some existence and regularity results for abstract non-autonomous parabolic equations
- On the spectral theory of elliptic differential operators. I
- Abstract quasilinear parabolic equations
- Semigroups of linear operators and applications to partial differential equations
- On the abstract nonautonomous parabolic Cauchy problem in the case of constant domains
- On the abstract Cauchy problem of parabolic type in spaces of continuous functions
- Maximal regularity for evolution equations by interpolation and extrapolation
- Geometric theory of semilinear parabolic equations
- Nonlinear evolution equations - global behavior of solutions
- Estimates for solutions of parabolic initial-boundary value problems in weighted Hölder norms
- Equations d'évolution abstraites non linéaires de type parabolique
- Singular perturbation and boundary layer for an abstract Cauchy problem
- Hölder regularity for non-autonomous abstract parabolic equations
- Sommes d'opérateurs linéaires et équations différentielles opérationnelles
- On the abstract linear evolution equations in Banach spaces
- Lineare und semilineare parabolische Differentialgleichungen in Räumen Hölderstetiger Funktionen
- Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertprobleme
- Halbgruppen und semilineare Anfangs-Randwertprobleme
- Einige Bemerkungen zu meiner Arbeit 'Gebrochene Potenzen eines elliptischen Operators und parabolische Differentialgleichungen in Räumen hölderstetiger Funktionen'
- Local semi-dynamical systems
- Semilinear Parabolic Problems Define Semiflows on C k Spaces
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Interpolation Spaces Between Domains of Elliptic Operators and Spaces of Continuous Functions with Applications to Nonlinear Parabolic Equations
- On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
- Semi-linear evolution equations in interpolation spaces
- Équations différentielles abstraites
- Interpolation in $L^{p}$ with boundary conditions
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