41 citations · 158 across the 25 of their papers we have counts for
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math.AP2015★ 39 cited
Supersolutions for a class of nonlinear parabolic systems
Kazuhiro Ishige, Tatsuki Kawakami, Mikołaj Sierżȩga
In this paper, by using scalar nonlinear parabolic equations, we construct supersolutions for a class of nonlinear parabolic systems including $$ \left\{\begin{array}{ll} \partial_…
math.AP2015
Existence of mild solutions for the Hamilton-Jacobi equation with critical fractional viscosity in the Besov spaces
Tsukasa Iwabuchi, Tatsuki Kawakami
We consider the Cauchy problem for the Hamilton-Jacobi equation with critical dissipation, $$ \partial_t u + (-Δ)^{ 1/2} u = |\nabla u|^p, \quad x \in \mathbb R^N, t > 0, \qquad u(…