an:04136489
Zbl 0694.35081
Freedman, M. A.
A method for reparameterizing mild solutions to nonlinear evolution equations
EN
J. Differ. Equations 75, No. 2, 187-205 (1988).
00168827
1988
j
35G10 35K25 34G99 35K55
mild solutions; m-accretive operator
Existence of solutions of evolution differential equation \(u'(t)+A(t)u(t)\ni 0\), \(u(0)=x_ 0\) where \(A(t)\) is a multivalued m- accretive operator in a Banach space \(X\) is discussed in the case when a solution to \(v'(t)+B(t)v(t)\ni 0\), \(v(0)=x_ 0\) is known to exist and \(A\) and \(B\) are related by \(A(t)=r(t)B(t)\) with \(r(t)\) positive and integrable.
S.Tersian