To the Question of the Solvability of the Ionkin Problem for Partial Differential Equations

Autor:	Aleksandr I. Kozhanov
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	spatial nonlocal problems Ionkin condition splitting method regular solutions existence uniqueness Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 3, p 487 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12030487
Popis:	We study the solvability of the Ionkin problem for some differential equations with one space variable. These equations include parabolic and quasiparabolic, hyperbolic and quasihyperbolic, pseudoparabolic and pseudohyperbolic, elliptic and quasielliptic equations and equations of many other types. For the above equations, the following theorems are proved with the use of the splitting method: the existence of regular solutions—solutions that all have weak derivatives in the sense of S. L. Sobolev and occur in the corresponding equation.
Databáze:	Directory of Open Access Journals
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