Direct and Inverse Problems for Some Degenerate Equations

Yuli Eidelman; Angelo Favini

doi:10.1007/s00009-018-1127-7

Direct and Inverse Problems for Some Degenerate Equations

Yuli Eidelman^*, Angelo Favini

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We consider degenerate parabolic equations with nonsmooth right hand parts of a special form. We derive unique solvability of the Cauchy problem and an inverse problem for such equations.

Original language	English
Article number	99
Journal	Mediterranean Journal of Mathematics
Volume	15
Issue number	3
DOIs	https://doi.org/10.1007/s00009-018-1127-7
State	Published - 1 Jun 2018

Keywords

Cauchy problem
Degenerate parabolic equations
differential equations in Banach spaces
inverse problem

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title = "Direct and Inverse Problems for Some Degenerate Equations",

abstract = "We consider degenerate parabolic equations with nonsmooth right hand parts of a special form. We derive unique solvability of the Cauchy problem and an inverse problem for such equations.",

keywords = "Cauchy problem, Degenerate parabolic equations, differential equations in Banach spaces, inverse problem",

author = "Yuli Eidelman and Angelo Favini",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

month = jun,

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doi = "10.1007/s00009-018-1127-7",

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AU - Eidelman, Yuli

AU - Favini, Angelo

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N2 - We consider degenerate parabolic equations with nonsmooth right hand parts of a special form. We derive unique solvability of the Cauchy problem and an inverse problem for such equations.

AB - We consider degenerate parabolic equations with nonsmooth right hand parts of a special form. We derive unique solvability of the Cauchy problem and an inverse problem for such equations.

KW - Cauchy problem

KW - Degenerate parabolic equations

KW - differential equations in Banach spaces

KW - inverse problem

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JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

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ER -

Direct and Inverse Problems for Some Degenerate Equations

Abstract

Keywords

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