On direct and inverse problems for odd-order systems of quasilinear evolution equations

Autor:	Balashov, O. S., Faminskii, A. V.
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35Q53
Druh dokumentu:	Working Paper
Popis:	Direct and inverse initial-boundary problems on a bounded interval for systems of quasilinear evolution equations with general nonlinearities are considered. In the case of inverse problems conditions of integral overdetermination are introduced and right-hand sides of equations of special types are chosen as controls. Results on well-posedness of such problems are established. Assumptions on smallness of the input data or smallness of a time interval are required. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.15810 Zobrazit plný text záznamu View this record from Arxiv