On some nondecaying potentials and related Jost solutions for the heat conduction equation

B. Prinari

doi:10.1088/0266-5611/16/3/304

On some nondecaying potentials and related Jost solutions for the heat conduction equation

B. Prinari

Mathematics

University at Buffalo

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

8 Scopus citations

Abstract

Potentials of the heat conduction operator constructed by means oftwo binary Bäcklund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties.

Original language	English
Pages (from-to)	589-603
Number of pages	15
Journal	Inverse Problems
Volume	16
Issue number	3
DOIs	https://doi.org/10.1088/0266-5611/16/3/304
State	Published - Jun 2000

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title = "On some nondecaying potentials and related Jost solutions for the heat conduction equation",

abstract = "Potentials of the heat conduction operator constructed by means oftwo binary B{\"a}cklund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties.",

author = "B. Prinari",

year = "2000",

month = jun,

doi = "10.1088/0266-5611/16/3/304",

language = "English",

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T1 - On some nondecaying potentials and related Jost solutions for the heat conduction equation

AU - Prinari, B.

PY - 2000/6

Y1 - 2000/6

N2 - Potentials of the heat conduction operator constructed by means oftwo binary Bäcklund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties.

AB - Potentials of the heat conduction operator constructed by means oftwo binary Bäcklund transformations are studied in detail. Corresponding Darboux transformations of the Jost solutions are introduced. We show that these solutions obey modified integral equations and present their analyticity properties.

UR - https://www.scopus.com/pages/publications/0004625477

U2 - 10.1088/0266-5611/16/3/304

DO - 10.1088/0266-5611/16/3/304

M3 - Article

SN - 0266-5611

VL - 16

SP - 589

EP - 603

JO - Inverse Problems

JF - Inverse Problems

IS - 3

ER -

On some nondecaying potentials and related Jost solutions for the heat conduction equation

Abstract

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