21 citations · 23 across the 10 of their papers we have counts for
3 papers · 2 filters
Tsunami propagation for singular topographies
Arshyn Altybay, Michael Ruzhansky, Mohammed Elamine Sebih +1
We consider a tsunami wave equation with singular coefficients and prove that it has a very weak solution. Moreover, we show the uniqueness results and consistency theorem of the v…
The heat equation with strongly singular potentials
Arshyn Altybay, Michael Ruzhansky, Mohammed Elamine Sebih +1
In this paper, we consider the heat equation with strongly singular potentials and prove that it has a "very weak solution". Moreover, we show the uniqueness and consistency result…
Fractional Schrödinger Equation with singular potentials of higher-order
Arshyn Altybay, Michael Ruzhansky, Mohammed Elamine Sebih +1
In this paper, the space-fractional Schrödinger equations with singular potentials are studied. Delta-like or even higher-order singularities are allowed. By using the regularising…