21 citations · 23 across the 10 of their papers we have counts for
4 papers · 2 filters
Wave equations for the fractional Sturm-Liouville operator with singular coefficients
Michael Ruzhansky, Mohammed Elamine Sebih, Alibek Yeskermessuly
In this paper, we consider the wave equation for the fractional Sturm-Liouville operator with lower order terms and singular coefficients and data. We prove that the problem has a…
Fractional wave equation with irregular mass and dissipation
Michael Ruzhansky, Mohammed Elamine Sebih, Niyaz Tokmagambetov
In this paper, we pursue our series of papers aiming to show the applicability of the concept of very weak solutions. We consider a wave model with irregular position dependent mas…
Schrödinger equation with singular position dependent mass
Michael Ruzhansky, Mohammed Elamine Sebih, Niyaz Tokmagambetov
We consider the Schrödinger equation with singular position dependent effective mass and prove that it is very weakly well posed. A uniqueness result is proved in an appropriate se…
Heat equation with singular thermal conductivity
Michael Ruzhansky, Mohammed Elamine Sebih, Niyaz Tokmagambetov
In this paper, we study the heat equation with an irregular spatially dependent thermal conductivity coefficient. We prove that it has a solution in an appropriate very weak sense.…