Theory of Hyperbolic Evolution Equations and Partial Differential Equations

DOI10.1090/suga/441zbMath1423.35256OpenAlexW2975380178WikidataQ127200007 ScholiaQ127200007MaRDI QIDQ5197952

Yoshio Tsutsumi

Publication date: 2 October 2019

Published in: Sugaku Expositions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/suga/441

zbMATH Keywords

nonautonomous evolution equations

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Abstract hyperbolic equations (35L90) Nonlinear evolution equations (47J35) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Methods of ordinary differential equations applied to PDEs (35A24)

Cites Work

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• Invariant manifolds and dispersive Hamiltonian evolution equations
• A method of iterations for quasi-linear evolution equations in nonreflexive Banach spaces
• Compressible fluid flow and systems of conservation laws in several space variables
• Geometric theory of semilinear parabolic equations
• Linear evolution equations du/dt+A(t)u=0: A case where A(t) is strongly uniform-measurable
• Abstract quasi-linear equations of evolution in nonreflexive Banach spaces
• On a theorem for linear evolution equations of hyperbolic type
• On the Navier-Stokes initial value problem. I
• Nonlinear semigroups in Hilbert space
• Lectures on Cauchy problem. Notes by M. K. Venkatesha Murthy and B. V. Singbal
• Non-linear semi-groups
• Linear evolution equations of hyperbolic type. II
• On the differentiability and the representation of one-parameter semi-group of linear operators
• Convergence of difference approximations of quasilinear evolution equations
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Symmetric hyperbolic linear differential equations
• The Identity of Weak and Strong Extensions of Differential Operators