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An isomorphism theorem for linear evolution problems on the line

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Publication:1425216
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DOI10.1023/B:JODY.0000010065.11894.b6zbMath1055.34109OpenAlexW1988993685MaRDI QIDQ1425216

Patrick J. Rabier

Publication date: 15 March 2004

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:jody.0000010065.11894.b6


zbMATH Keywords

multiplier theoremHamiltonian systemBochner integralUMD space\(r\)-boundedness


Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10)


Related Items (4)

A Floer Homology Approach to Traveling Waves in Reaction-Diffusion Equations on Cylinders ⋮ Global bifurcation of periodic solutions in nonlinear evolution problems with periodic forcing ⋮ Fourier decomposition of properly elliptic boundary value problems in a half-plane ⋮ Fredholm operators, semigroups and the asymptotic and boundary behavior of solutions of PDEs.




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