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Bessel Potentials in Ahlfors Regular Metric Spaces
(Springer, 2016-08)
In this paper we introduce Bessel potentials and the Sobolev potential spaces resulting from them in the context of Ahlfors regular metric spaces. The Bessel kernel is defined using a Coifman type approximation of the ...
Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space time
(World Scientific Publ Co Pte Ltd, 2007-06-20)
The intrinsically relativistic problem of spinless particles subject to a general mixing of vector and scalar kink- like potentials (similar to tanh gamma x) is investigated. The problem is mapped into the exactly solvable ...
Generalized Bessel potentials on Lipschitz type spaces
(Wiley VCH Verlag, 2005-12)
We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth ...
On the Heat Equation with Nonlinearity and Singular Anisotropic Potential on the Boundary
(2017-03-01)
This paper concerns with the heat equation in the half-space ℝ+n with nonlinearity and singular potential on the boundary ∂ℝ+n. We show a well-posedness result that allows us to consider critical potentials with infinite ...
The Riesz potential as a multilinear operator into general BMOβ spaces
(Springer Science, 2011-03)
Given α > 0 and a space of homogeneous type X, n-normal, with n ℝ+, we consider an extension of the standard multilinear fractional integral on Lp1 × ... × Lpk for the range of 1/pi = 1/p1...+1/pk -α/n ≤ 0. We show that ...
Aggregation equations with gradient potential as Radon measure and initial data in Besov-Morrey spaces
(Wiley-Blackwell, 2020-06-01)
In this work, we present conditions to obtain a global-in-time existence of solutions to a class of nonlinear viscous transport equations describing aggregation phenomena in biology with sufficiently small initial data in ...
LANCZOS POTENTIAL FOR THE VAN STOCKUNG SPACE-TIME
(Springer Science+Business Media, 2013-01-16)
LANCZOS POTENTIAL FOR THE VAN STOCKUNG SPACE-TIME
(Springer Science+Business Media, 2013-01-16)
LANCZOS POTENTIAL FOR THE VAN STOCKUNG SPACE-TIME
(Int J Theor Phys, 2013-01-16)
Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space time
(World Scientific Publ Co Pte Ltd, 2014)