Local solvability of semilinear parabolic equations
Tomasz W. Dłotko · Hokkaido Mathematical Journal · 1991
The problem of local in time existence of solutions of semilienar para- bolic equations has been studied by a number of authors (e. g. [10,20,4,18,3]) using several different methods.Friedman [10] made use of the C^{1+8} estimates (p.191 therein), also the Sobolevskii-Tanabe method (cf.[22, 3]) gave a contribution to these studies.However, probably the most important innovation in recent years came from H. Amann (see [3] and