Well-posedness of boundary-value problems for multidimensional hyperbolic systems

Autor:	B. I. Ptashnyk, I. Ya. Kmit
Rok vydání:	2008
Předmět:	Cauchy problem Method of characteristics General Mathematics Mathematical analysis Mathematics::Analysis of PDEs Hyperbolic manifold Uniqueness Boundary value problem Hyperbolic partial differential equation Hyperbolic systems Well posedness Mathematics
Zdroj:	Ukrainian Mathematical Journal. 60:221-234
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-008-0054-3
Popis:	By using the method of characteristics, we investigate the well-posedness of local problems (Cauchy problem and mixed problems) and nonlocal problems (with nonseparable and integral conditions) for some multidimensional almost-linear hyperbolic systems of the first order. We reduce these problems to systems of integro-operator equations and prove theorems on the existence and uniqueness of classical solutions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dd651b046a02753eaf0f9fc0e897ded5 https://doi.org/10.1007/s11253-008-0054-3 Zobrazit plný text záznamu Plný text ve formátu PDF