Existence of the fundamental solution of a second order evolution equation
Tom 66 / 1997
Annales Polonici Mathematici 66 (1997), 15-35
DOI: 10.4064/ap-66-1-15-35
Streszczenie
We give sufficient conditions for the existence of the fundamental solution of a second order evolution equation. The proof is based on stable approximations of an operator A(t) by a sequence ${A_n(t)}$ of bounded operators.