Main Article Content
A Lemma on C0-semigroups and applications
Abstract
existence and the uniqueness of the solutions of many systems of partial
differential equations. In fact, we apply our result to a strongly damped wave
equation, damped vibration of a string equation and reaction diffusion systems.
Finally, we formulate an open problem.
Mathematics Subject Classification (2000): Primary 47D06; Secondary 35K90
Key words: C0-semigroup, systems of partial differential equations, existence of solutions
Quaestiones Mathematicae 26(2003), 247–265