Weak solutions of hyperbolic-parabolic Volterra equations
نویسندگان
چکیده
منابع مشابه
Weak Solutions for a Class of Parabolic Volterra Integrodifferential Equations
u’(t)+Au(t)= ‘a(t,s)g(s,u(s))ds+f(t,U(t)), I 120, 0 u(0) = 0. The operator A is the negative infinitesimal generator of an analytic semigroup in a Banach space X. The operator g(t, u) is related to A by a special form g(t, a) = A”*q(t, u), where q(t, u) is an appropriate “lower order” operator. We show the existence and uniqueness of weak solutions and their continuability to infinity under sui...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1994
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-1994-1216335-0