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Existence Results for a Class of Evolution Equations of Mixed Type by Fabio Paronetto is a scholarly article available to read on EtoBox.

What is Existence Results for a Class of Evolution Equations of Mixed Type about?

We give an existence result for the evolution equation ðRuÞ 0 þ Au 1⁄4 f in the space W 1⁄4 fuAVj ðRuÞ 0 AV 0 g where V is a Banach space and R is a non-invertible operator (the equation may be partially elliptic and partially parabolic, both forward and backward) and we study the ''Cauchy-Dirichlet'' problem associated to this equation (indeed also for the inclusion ðRuÞ 0 þ Au{f Þ: We also investigate continuous and compact embeddings of W and regularity in time of the solution. At the end we give some examples of different R:

Author

Fabio Paronetto

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)

Published

2004

Language

EN