Publication Cover
Applicable Analysis
An International Journal
Volume 42, 1991 - Issue 1-4
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Original Articles

Exact decay estimates for solutions to semilinear parabolic equations

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Pages 69-81 | Received 23 Oct 1990, Published online: 10 May 2007

References

  • Foias , C. and Saut , J.C. 1984 . Asymptotic Behavior as t -> ∞ of Solutions of Navier-Stokes Equations and Nonlinear Spectral Manifolds . Indiana Univ. Math. J , 33 : 459 – 477 .
  • Ghidaglia , J.M. 1986 . Long Time Behaviour of Solutions of Abstract Inequalities: Applications to Thermo-hydraulic and Magnetohydrodynamic Equations . J. Diff. Eqn , 61 : 268 – 294 .
  • Lions , J.L. 1969 . Quelques methodes de resolution des problemes aux limites non lineaires , Paris : Dunod .
  • Lions , J.L. and Malgrange , B. 1960 . Sur Punicite retrograde dans les problemes mixtes paraboliques . Math. Scand , 8 : 277 – 286 .
  • NirenbeRG , L. 1959 . On Elliptic Partial Differential Equations . Ann. Scuola Norm. Pisa , 13 : 116 – 162 .
  • Simon , J. 1975 . Quelques proprietes des solutions d'equations et d'inequations d'evo-lution paraboliques non lineaires . Ann. Scuola Norm. Pisa , 2 : 585 – 609 .
  • Temam , R. 1988 . Infinite Dimensional Dynamical Systems in Mechanics and Physics , New York : Springer-Verlag .

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