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20122026
most citedAsymptotic Behavior and Decay Estimates of the Solutions for a Nonlinear Parabolic Equation with Exponential Nonlinearity

41 citations · 158 across the 25 of their papers we have counts for

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math.AP2014

When does the heat equation have a solution with a sequence of similar level sets?

Tatsuki Kawakami, Shigeru Sakaguchi

In this paper we consider the overdetermined Cauchy problem for the heat equation. We prove that if the problem has a nontrivial nonnegative solution with a certain sequence of sim…