JournalsprimsVol. 1, No. 1pp. 67–98

On semi-linear parabolic partial differential equations

  • Kiyoshi Asano

    Kyoto University, Japan
On semi-linear parabolic partial differential equations cover
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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