On the Stabilization Rate of Solutions of the Cauchy Problem for a Parabolic Equation with Lower-Order Terms
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It is proved that for any bounded and continuous in ℝN initial function u0(x), the solution of the above Cauchy problem stabilizes to zero uniformly with respect to x from any compact set K in ℝN either exponentially or as a power (depending on the estimate for the coefficient c(x, t) of the equation).
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