Annali di Matematica Pura ed Applicata (1923 -)

, Volume 161, Issue 1, pp 213–229 | Cite as

Weakly coupled semilinear parabolic evolution systems

  • W. E. Fitzgibbon
  • J. J. Morgan
  • S. J. Waggoner


We obtain a priori bounds, global existence results, and a variation of parameters representation for classical solutions to weakly coupled semilinear parabolic systems which include spatial and temporal inhomogeneities.


Global Existence Parabolic System Adjoint Equation Reaction Diffusion System Duality Argument 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1992

Authors and Affiliations

  • W. E. Fitzgibbon
    • 1
  • J. J. Morgan
    • 2
  • S. J. Waggoner
    • 3
  1. 1.Department of MathematicsUniversity of HoustonHoustonUSA
  2. 2.Department of MathematicsTexas A&M UniversityCollege StationUSA
  3. 3.Department of MathematicsFurman UniversityGreenvilleUSA

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