On semi-linear parabolic partial differential equations
Kiyoshi Asano
Kyoto University, Japan
![On semi-linear parabolic partial differential equations cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-1-issue-1.png&w=3840&q=90)
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.
Cite this article
Kiyoshi Asano, On semi-linear parabolic partial differential equations. Publ. Res. Inst. Math. Sci. 1 (1965), no. 1, pp. 67–98
DOI 10.2977/PRIMS/1195196436