2 citations · 2 across the 6 of their papers we have counts for
7 papers
Parabolic Equations with Singular Coefficients and Boundary Data: Analysis and Numerical Simulations
Arshyn Altybay, Alibek Yeskermessuly
We investigate linear parabolic equations in divergence form with singular coefficients and nonsmooth initial--boundary data. When the diffusion, drift, or potential terms, as well…
Singular Klein-Gordon equation on a bounded domain
Michael Ruzhansky, Alibek Yeskermessuly
In this paper, we consider the wave equation for the Laplace operator with potential, initial data, and nonhomogeneous Dirichlet boundary condition. We establish a weak solution by…
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…
Schrödinger equation for Sturm-Liouville operator with singular propagation and potential
M. Ruzhansky, A. Yeskermessuly
In this paper we consider an initial/boundary value problem for the Schrödinger equation with a right-hand side involving the fractional Sturm-Liouville operator with singular prop…
Heat equation for Sturm-Liouville operator with singular propagation and potential
Michael Ruzhansky, Alibek Yeskermessuly
This article considers the initial boundary value problem for the heat equation with the time-dependent Sturm-Liouville operator with singular potentials. To obtain a solution by t…
Lattice path bicircular matroids
Santiago Guzmán-Pro, Winfried Hochstättler
Lattice path matroids and bicircular matroids are two well-known classes of transversal matroids. In the seminal work of Bonin and de Mier about structural properties of lattice pa…
Wave equation for Sturm-Liouville operator with singular potentials
Michael Ruzhansky, Serikbol Shaimardan, Alibek Yeskermessuly
The paper is denoted to the initial-boundary value problem for the wave equation with the Sturm-Liouville operator with irregular (distributive) potentials. To obtain a solution to…