Modeling and analysis of the forced Fisher equation

Autor:	W. Zhu, Max D. Gunzburger, L.S. Hou
Rok vydání:	2005
Předmět:	symbols.namesake Forcing (recursion theory) Maximum principle Applied Mathematics Dirichlet boundary condition Mathematical analysis symbols Fisher equation Boundary value problem Fisher's equation Galerkin method Analysis Mathematics
Zdroj:	Nonlinear Analysis: Theory, Methods & Applications. 62:19-40
ISSN:	0362-546X
Popis:	The Fisher equation with inhomogeneous forcing is considered in this paper. First, a forced Fisher equation and boundary conditions are derived. Then, the existence of a local solution for the forced equation with a homegeneous Dirichlet condition is proved by Galerkin's method. Next, a maximum principle is established and the existence of a global solution is obtained as a consequence of the maximum principle. Finally, generalizations of the results to cases of less regular forces are discussed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4a7f99be21212f5326da729eafbc787f https://doi.org/10.1016/j.na.2005.01.094 Zobrazit plný text záznamu Full Text from ScienceDirect