Existence and Representation Theorems for a Semilinear Sobolev Equation in Banach Space

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/0c483j98g

Descriptions

Attribute Name	Values
Creator	Showalter, R. E.
Abstract	An existence theory is developed for a semilinear evolution equation in Banach space which is modeled on boundary value problems for partial differential equations of Sobolev type. The operators are assumed to be measurable and to satisfy coercive estimates which are not necessarily uniform in their time dependence, and to satisfy Lipschitz conditions on the nonlinear term. Applications are briefly indicated.
Resource Type	Article
DOI	https://doi.org/10.1137/0503051
Date Available	2014-11-05T21:45:23+00:00
Date Issued	1972-08
Citation	Showalter, R. E. (1972). Existence and representation theorems for a semilinear Sobolev equation in Banach space. SIAM Journal on Mathematical Analysis, 3(3), 527-543. doi:10.1137/0503051
Journal Title	SIAM Journal on Mathematical Analysis
Journal Volume	3
Journal Issue/Number	3
Academic Affiliation	Mathematics
Rights Statement	Copyright Not Evaluated
Funding Statement (additional comments about funding)	This research was supported in part by a National Science Foundation grant.
Publisher	Society for Industrial and Applied Mathematics
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/53691