Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2021

Идентификатор DOI: 10.1007/s10958-021-05337-y

Ключевые слова: 35B45, 35B65, 35K15, cauchy problem, loaded equation, method of weak approximation, parabolic equation, solvability

Аннотация: In this paper, we examine the solvability of a new class of nonclassical direct problems for multidimensional loaded parabolic equations with Cauchy data. We obtain sufficient conditions for the solvability of the problem; the proof is based on the method of weak approximation. By an example, we demonstrate the application of the theorem proved to the study of inverse problems for multidimensional parabolic equations with Cauchy data.

Журнал: Journal of Mathematical Sciences

Выпуск журнала: Т. 254, № 6

Номера страниц: 743-760

ISSN журнала: 10723374

Место издания: New York

Издатель: Plenum Publishers

• Frolenkov I.V. (Institute of Mathematics and Computer Science,Siberian Federal University)
• Kriger E.N. (JSC Information Satellite Systems Reshetnev)

• Ядро РИНЦ (eLIBRARY.RU)