Stabilization of solutions of the Cauchy problem for the reaction-nonlinear diffusion equation to a dominant equilibrium |
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Authors: | V N Razzhevaikin |
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Institution: | 19759. Computer Center, Russian Academy of Sciences, Moscow, Russia
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Abstract: | We consider the Cauchy problem for the reaction-nonlinear diffusion equation in a space of arbitrary dimension. On the basis of the original data of the equation, we compute the potential function, whose maximum corresponds to a dominant equilibrium distribution. For the solutions of the problem with initial distributions in a rather broad class, we prove the convergence to the dominant distribution on bounded subsets. |
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