23 citations · 48 across the 30 of their papers we have counts for
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Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions
Joel E. Restrepo, Michael Ruzhansky, Durvudkhan Suragan
Explicit solutions of differential equations of complex fractional orders with respect to functions and with continuous variable coefficients are established. The representations o…
Representation formulae for the higher-order Steklov and -Friedrichs inequalities
Tohru Ozawa, Durvudkhan Suragan
In this paper, we obtain remainder term representation formulae for the higher-order Steklov inequality for vector fields which imply short and direct proofs of the sharp (classica…
Trace formulae of potentials for degenerate parabolic equations
Mukhtar Karazym, Durvudkhan Suragan
In this paper, we analyze main properties of the volume and layer potentials as well as the Poisson integral for a multi-dimensional degenerate parabolic equation. As consequences,…
Multidimensional inverse Cauchy problems for evolution equations
Mukhtar Karazym, Tohru Ozawa, Durvudkhan Suragan
We discuss inverse problems to finding the time-dependent coefficient for the multidimensional Cauchy problems for both strictly hyperbolic equations and polyharmonic heat equation…