Keywords
existence, modeling, quasilinear evolutions, nonclassical diffusion
Abstract
After describing the motivation leading to some nonclassical diffusion equations, we formulate a general abstract nonlinear evolution equation and establish existence of solutions. Then we return to the original equation and discuss particular initial-boundary value problems.
Original Publication Citation
SIAM Journal on Mathematical Analysis, 19.1 (1988), 11-12.
BYU ScholarsArchive Citation
Kuttler, Kenneth and Aifantis, Elias, "Quasilinear evolution equations in nonclassical diffusion" (1988). Faculty Publications. 740.
https://scholarsarchive.byu.edu/facpub/740
Document Type
Peer-Reviewed Article
Publication Date
1988-01-01
Permanent URL
http://hdl.lib.byu.edu/1877/1350
Publisher
Society for Industrial and Applied Mathematics, http://www.siam.org/
Language
English
College
Physical and Mathematical Sciences
Department
Mathematics
Copyright Status
© 1988 Society for Industrial and Applied Mathematics
Copyright Use Information
http://lib.byu.edu/about/copyright/
