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
(SIAM Journal on Numerical Analysis, 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
(Advances in Mathematics, 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 $\mathcal{L}^\mu$ ...