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A remark on the definitions of viscosity solutions for the integro-differential equations with L{é}vy operators
remark definitions of viscosity solutions integro-differential equations
2011/1/21
In this note, we shall consider the following problem F(x, u,∇u,∇2u)−ZRN [u(x+z)−u(x)−1|z|<1h∇u(x).
$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
Polytropic gas di usive entropy
2010/12/1
We establish the global existence of L1 solutions for a model of polytropic gas ow with di usive entropy. The result is obtained by showing the convergence of a class of nite di erence schemes, whic...