On a semilinear parabolic system of reaction-diffusion with absorption
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Date
2003
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Abstract
We consider the semilinear parabolic system with absorption terms in a bounded domain Omega of R-N
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where p, q>0 and k, lgreater than or equal to0, with Dirichlet or Neuman conditions on partial derivativeOmega x (0,infinity). We study the existence and uniqueness of the Cauchy problem when the initial data are L-1 functions or bounded measures. We find invariant regions when u(0), v(0) are nonnegative, and give sufficient conditions for positivity or extinction in finite time.
(GRAPHICS)
where p, q>0 and k, lgreater than or equal to0, with Dirichlet or Neuman conditions on partial derivativeOmega x (0,infinity). We study the existence and uniqueness of the Cauchy problem when the initial data are L-1 functions or bounded measures. We find invariant regions when u(0), v(0) are nonnegative, and give sufficient conditions for positivity or extinction in finite time.