Trace formulae of potentials for degenerate parabolic equations

Mukhtar Karazym; Durvudkhan Suragan

Trace formulae of potentials for degenerate parabolic equations

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Abstract

In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.

Original language	English
Pages (from-to)	337-360
Number of pages	24
Journal	Differential and Integral Equations
Volume	33
Issue number	7-8
Publication status	Published - Aug 2020

ASJC Scopus subject areas

Analysis
Applied Mathematics

Cite this

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title = "Trace formulae of potentials for degenerate parabolic equations",

abstract = "In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.",

author = "Mukhtar Karazym and Durvudkhan Suragan",

note = "Funding Information: AMS Subject Classifications: 47G40, 35K65. Accepted for publication: March 2020. The authors were supported by the Nazarbayev University program 091019CRP2120.",

year = "2020",

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language = "English",

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pages = "337--360",

journal = "Differential and Integral Equations",

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AU - Karazym, Mukhtar

AU - Suragan, Durvudkhan

N1 - Funding Information: AMS Subject Classifications: 47G40, 35K65. Accepted for publication: March 2020. The authors were supported by the Nazarbayev University program 091019CRP2120.

PY - 2020/8

Y1 - 2020/8

N2 - In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.

AB - In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences, we obtain trace formulae of the heat volume potential and the Poisson integral which solve Kac's problem for degenerate parabolic equations in cylindrical domains.

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JO - Differential and Integral Equations

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Trace formulae of potentials for degenerate parabolic equations

Abstract

ASJC Scopus subject areas

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