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math.AP2018
Large time behavior of ODE type solutions to nonlinear diffusion equations
Junyong Eom, Kazuhiro Ishige
Consider the Cauchy problem for a nonlinear diffusion equation \begin{equation} \tag{P} \left\{ \begin{array}{ll} \partial_t u=Δu^m+u^α& \quad\mbox{in}\quad{\bf R}^N\times(0,\infty…
math.AP2017
Stationary viscoelastic wave fields generated by scalar wave functions
Junyong Eom, Gen Nakamura
The usual Helmholtz decomposition gives a decomposition of any vector valued function into a sum of gradient of a scalar function and rotation of a vector valued function under som…