We study a linear singular first-order integro-differential Cauchy problems in Banach spaces. Singular here means that the integro differential equation is not in normal form neither can it be reduced to such a form. We generalize to this context some existence and uniqueness theorems known for differential equations. Particular attention is given to single out the optimal regularity properties of solutions as well as to point out several explicit applications related tosingular partial integrodifferential of parabolic type.
|Titolo:||Singular integro-differential equations of parabolic type|
|Autori interni:||LORENZI, ALFREDO (Secondo)|
|Settore Scientifico Disciplinare:||Settore MAT/05 - Analisi Matematica|
|Data di pubblicazione:||2002|
|Appare nelle tipologie:||01 - Articolo su periodico|