Abnormal solutions of evolution equations

DOI10.1007/BF01191819zbMath0957.34056OpenAlexW2041029025MaRDI QIDQ1378092

Vladimir Schuchman

Publication date: 26 March 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191819

zbMATH Keywords

evolution equationsrapidly decreasing classical solutions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) Equations in function spaces; evolution equations (58D25)

Cites Work

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• On the existence of flat solutions for partial differential equations of the first order
• Small solutions of linear autonomous functional differential equations
• A stability theorem for solutions of abstract differential equations, and its application to the study of the local behavior of solutions of elliptic equations
• The closure of the generalised eigenspace of a class of infinitesimal generators
• Properties of solutions of ordinary differential equations in banach space

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