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Fourier multipliers and their applications to PDE on the quantum Euclidean space
M. Ruzhansky, S. Shaimardan, K. Tulenov
In this work, we present some applications of the - boundedness of Fourier multipliers to PDEs on the noncommutative (or quantum) Euclidean space. More precisely, we esta…
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…
Existence and uniqueness of some Cauchy Type Problems in fractional q-difference calculus
Lars-Erik Persson, Serikbol Shaimardan, Nariman Sarsenovich Tokmagambetov
In this paper we derive a sufficient condition for the existence of a unique solution of a Cauchy type q-fractional problem (involving the fractional q-derivative of Riemann-Liouvi…