Peculiarities and regularization of ill-posed Cauchy problems with differential operators

DOI10.1007/s10958-008-0012-5zbMath1111.35098OpenAlexW2070646986MaRDI QIDQ3411990

U. A. Anufrieva, Irina V. Melnikova

Publication date: 4 December 2006

Published in: Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-008-0012-5

zbMATH Keywords

Fourier transformLaplace transformabstract Cauchy problemdifferential operatorill-posed Cauchy problemregularization theoryIvanov's generalized functionMiyadera-Feller-Phillips-Hille-Yosida theorem

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Ill-posed problems for PDEs (35R25) Applications of operator theory to differential and integral equations (47N20) Linear differential equations in abstract spaces (34G10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

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