Browsing Linear and Non-Linear Waves by Subject "uniqueness"

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Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments

Del Teso, F.; Endal, J.; Jacobsen, E.R. (2018)

\noindent We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $$ \partial_t u-\mathfrak{L}[\varphi(u)]=f(x,t) \qquad\text{in}\qquad ...
Uniqueness and Properties of Distributional Solutions of Nonlocal Equations of Porous Medium Type

Del Teso, F.; Endal, J.; Jacobsen, E.R. (2016-09-01)

We study the uniqueness, existence, and properties of bounded distributional solutions of the initial value problem for the anomalous diffusion equation $\partial_tu-\mathcal{L}^\mu [\varphi (u)]=0$. Here $\mathcal{L}^\mu$ ...