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ArticleOriginal scientific text

Title

Semilinear evolution equations of the parabolic type

Authors 1

Affiliations

  1. Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

Abstract

This paper is devoted to the investigation of the abstract semilinear initial value problem du/dt + A(t)u = f(t,u), u(0) = u₀, in the "parabolic" case.

Keywords

ENG
classical solution, semilinear initial value problem, analytic semigroup, mild solution

Bibliography

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  2. J. Bochenek, An abstract semilinear first order differential equation in the hyperbolic case, Ann. Polon. Math. 61 (1995), 13-23.
  3. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math. 840, Springer, Berlin, 1981.
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Annales Polonici Mathematici
1999/72/3
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Pages:
197-206
Main language of publication
English
Received
1997-10-09
Accepted
1999-09-03
Published
1999
Exact and natural sciences