Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem Page 1 Proc.
London Math. Soc. (3) 96 (2008) 507–544 Cо2007 London Mathematical Society doi:10.1112/plms/pdm050 …

The principal aim of this note is to illustrate how factorizations of singular, evenorder partial
differential operators yield an elementary approach to classical inequalities of Hardy–Rellich …

In this note we provide simple and short proofs for a class of inequalities of Caffarelli–Kohn–
Nirenberg type with sharp constants. Our approach suggests some definitions of weighted …

Optimal Hardy inequality for the fractional Laplacian on Lp - ScienceDirect Skip to main
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In this article, we give necessary and sufficient conditions for the existence of a weak
solution of a Kolmogorov equation perturbed by an inverse-square potential. More precisely …

In this paper our main results are the multipolar weighted Hardy inequality c∑ i= 1 n∫ RN φ
2| x− ai| 2 d μ≤∫ RN|∇ φ| 2 d μ+ K∫ RN φ 2 d μ, c≤ co, where the functions φ belong to a …

This paper is concerned with weighted energy estimates for solutions to wave equation∂ t 2
u− Δ u+ a (x)∂ tu= 0 with space-dependent dam** term a (x)=| x|− α (α∈[0, 1]) in an …

The principal aim of this paper is to extend Birman's sequence of integral inequalities
originally obtained in Mat. Sb.(NS) 55 (97), 125–174,(1961), and containing Hardy's and …

The global existence for semilinear wave equations with space-dependent critical
dam**∂ 2 tu−∆ u+ V0| x|∂ tu= f (u) in an exterior domain is dealt with, where f (u)=| u| p …

In this paper we study minimal realizations in L p (RN) of the second order elliptic operator A
b, c:=(1+| x| α) Δ+ b| x| α− 2 x⋅∇− c| x| α− 2−| x| β, x∈ RN, where N≥ 3, α∈[0, 2), β> 0, and …