Parabolic evolution equations in interpolation and extrapolation spaces

DOI10.1016/0022-1236(88)90120-6zbMath0654.47019OpenAlexW2029059837MaRDI QIDQ1108565

Herbert Amann

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90120-6

zbMATH Keywords

Cauchy probleminterpolation spacessemigroup generatorsextrapolation spacesextrapolated operators

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of ordinary differential operators (47E05) General theory of partial differential operators (47F05) Abstract interpolation of topological vector spaces (46M35)

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Global well-posedness for Navier-Stokes equations with small initial value in \(B^{0}_{n,\infty}(\Omega)\), Holomorphic semigroups in interpolation and extrapolation spaces, Maximal \(L^1\)-regularity of generators for bounded analytic semigroups in Banach spaces, The principle of linearized stability for quasilinear parabolic evolution equations, On equilibrium solutions of diffusion equations with nonlinear boundary conditions, The generalized Korteweg-de Vries-Burgers equation in \(H^2(\mathbb R)\), Invariant manifolds and bifurcation for quasilinear reaction-diffusion systems, Differentiability with respect to (t,s) of the parabolic evolution operator, IDENTIFICATION OF EXTRAPOLATION SPACES FOR UNBOUNDED OPERATORS, Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations, Nonlinear elliptic systems with dynamic boundary conditions, Intermediate and extrapolated spaces for bi-continuous operator semigroups, On the continuation of solutions of non-autonomous semilinear parabolic problems, Perturbation of semi-linear evolution equations under weak assumptions at initial time, Semigroups of operators, cosine operator functions, and linear differential equations, ``Integrated semigroups and integrated solutions to abstract Cauchy problems, Stability of Runge-Kutta methods for abstract time-dependent parabolic problems: The Hölder case, A Hille-Yosida theorem for a class of weakly \({}^*\) continuous semigroups, Delay differential equations with unbounded operators acting on delay terms

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