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4 papers · 2 filters
The Schauder estimate for kinetic integral equations
Cyril Imbert, Luis Silvestre
We establish interior Schauder estimates for kinetic equations with integro-differential diffusion. We study equations of the form ,…
Asymptotic Decay of Besicovitch Almost Periodic Entropy Solutions to Anisotropic Degenerate Parabolic-Hyperbolic Equations
Hermano Frid, Yachun Li
We prove the well-posedness and the asymptotic decay to the mean value of Besicovitch almost periodic entropy solutions to nonlinear aniso\-tropic degenerate parabolic-hyperbolic e…
Vanishing Viscosity Limit of Short Wave-Long Wave Interactions in Planar Magnetohydrodynamics
Daniel R. Marroquin
We study several mathematical aspects of a system of equations modelling the interaction between short waves, described by a nonlinear Schrödinger equation, and long waves, describ…
On a class of solutions to the generalized KdV type equation
Felipe Linares, Hayato Miyazaki, Gustavo Ponce
We consider the IVP associated to the generalized KdV equation with low degree of non-linearity \begin{equation*} \partial_t u + \partial_x^3 u \pm |u|^α\partial_x u = 0,\; x,t \in…