4 citations · 4 across the 8 of their papers we have counts for
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Nonlinear parabolic problem with time fractional derivative
Nikolai Kutev, Tsviatko Rangelov
Time fractional parabolic problem for p-Laplacian with double singular Hardy-type potential is considered. Comparison principle and appriory estimates for the weak solutions are pr…
Half-plane Green`s function for anti-plane elastic 1D hexagonal QCs
Tsviatko V. Rangelov, George D. Manolis, Petia S. Dineva
This paper presents an analytical derivation of a frequency-dependent fundamental solution plus a Green's function for the uni-dimensional, hexagonal quasicrystal sheet subjected t…
Improved Hardy inequality with logarithmic term
Nikolai Kutev, Tsviatko Rangelov
New Hardy type inequality with double singular kernel and with additional logarithmic term in a ball is proved. As an application an estimate from below of…
Green's function for the viscoelastic and isotropic half-space
Tsviatko V. Rangelov, Petia S. Dineva, George D. Manolis
A dynamic 3D Green's function for the homogeneous, isotropic and viscoelastic (of the Zener type) half-space is derived in a closed form. The results obtained here can be used as e…
Control properties for heat equation with double singular potential
Nikolai Kutev, Tsviatko Rangelov
The aim of this article is to study the noncontrollability of the heat equation with double singular potential at an interior point and on the boundary of the domain.
Application of Hardy inequalities for some singular parabolic equations
N. Kutev, T. Rangelov
Boundary value problems for non-linear parabolic equations with singular potentials are considered. Existence and non-existence results as an application of different Hardy inequal…
Sharp Hardy inequalities in an exterior of a ball
Nikolai Kutev, Tsviatko Rangelov
New Hardy type inequalities in sectorial area and as a limit in an exterior of a ball are proved. Sharpness of the inequalities is shown as well.
Hardy inequalities with double singular weights
Nikolai Kutev, Tsviatko Rangelov
The aim of this paper is to obtain new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. These inequalities give us the poss…