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Evolution equations without semigroups.

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Publication:1426191
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DOI10.1016/S0096-3003(03)00187-5zbMath1036.35116MaRDI QIDQ1426191

Mahmoud M. El-Borai

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)


zbMATH Keywords

Cauchy problemEvolution equationsClosed operators


Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Linear differential equations in abstract spaces (34G10) Abstract hyperbolic equations (35L90)


Related Items (2)

Quasi-inversion method for an evolutionary equation of fractional order ⋮ On some fractional evolution equations




Cites Work

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  • On the initial value problem for a partial differential equation with operator coefficients
  • Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
  • Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
  • Cauchy problem for abstract evolution equations of parabolic type




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