On semi-linear parabolic partial differential equations
- 30 June 1965
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Publications of the Research Institute for Mathematical Sciences
- Vol. 1 (1) , 67-98
- https://doi.org/10.2977/prims/1195196436
Abstract
We give an operator theoretical treatment of initial value problems for semi-linear parabolic partial differential equations: existence of solutions, uniqueness and regularity. We make use of the theory of fractional powers of operators, the theory of semigroups of operators and L2-estimates for elliptic boundary value problems.This publication has 0 references indexed in Scilit: