A uniqueness result for a semilinear parabolic system
P Bokes - Journal of mathematical analysis and applications, 2007 - Elsevier
Journal of mathematical analysis and applications, 2007•Elsevier
We prove that for nonnegative, continuous, bounded and nonzero initial data we have a
unique solution of the reaction–diffusion system described by three differential equations
with non-Lipschitz nonlinearity. We also find the set of all nonnegative solutions of the
system when the initial data is zero and in the last section we briefly discuss a generalization
of the theorem to a system of n equations.
unique solution of the reaction–diffusion system described by three differential equations
with non-Lipschitz nonlinearity. We also find the set of all nonnegative solutions of the
system when the initial data is zero and in the last section we briefly discuss a generalization
of the theorem to a system of n equations.
We prove that for nonnegative, continuous, bounded and nonzero initial data we have a unique solution of the reaction–diffusion system described by three differential equations with non-Lipschitz nonlinearity. We also find the set of all nonnegative solutions of the system when the initial data is zero and in the last section we briefly discuss a generalization of the theorem to a system of n equations.
Elsevier
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