Asymptotics for conservation laws involving Lévy diffusion generators
Piotr Cezary Biler, Grzegorz Karch, Wojbor A. Woyczyński · Studia Mathematica · 2001
Let $-{\cal L}$ be the generator of a Lévy semigroup on $L^1({\mathbb R}^n)$ and $f:{\mathbb R}\to {\mathbb R}^n$ be a nonlinearity. We study the large time asymptotic behavior of solutions of the nonlocal and nonlinear equations $u_t+{\cal L}u+ abla \