Results 41 to 50 of about 12,584,112 (314)
A pseudo-differential calculus on the Heisenberg group [PDF]
, 2014 In this note we present a symbolic pseudo-differential calculus on the Heisenberg group. We particularise to this group our general construction [4,3,2] of pseudo-differential calculi on graded groups.
Fischer, Veronique, Ruzhansky, Michael
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Isometric embeddings into Heisenberg groups [PDF]
Geometriae Dedicata, 2017 29 ...
Hernando Sobrino +3 more
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Frontiers in Immunology, 2018 Low oxygen tension or hypoxia is a determining factor in the course of many different processes in animals, including when tissue expansion and cellular metabolism result in high oxygen demands that exceed its supply.
Sundary Sormendi, Ben Wielockx
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Fujita-type results for the degenerate parabolic equations on the Heisenberg groups [PDF]
Nonlinear Differential Equations and Applications NoDEA, Vol. 31,
No. 2, (2024), P. 1-37, 2023 In this paper, we consider the Cauchy problem for the degenerate parabolic equations on the Heisenberg groups with power law non-linearities. We obtain Fujita-type critical exponents, which depend on the homogeneous dimension of the Heisenberg groups. The analysis includes the case of porous medium equations.
arxiv +1 more source
On Minty’s theorem in the Heisenberg group [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2014 In this paper we extend some classical results of Convex Analysis to the sub-Riemannian setting of the Heisenberg group. In particular, we provide a horizontal version of Minty's theorem concerning maximal H-monotone operators defined in the Heisenberg group with values in the first layer of its Lie algebra.
PINI, RITA, CALOGERO, ANDREA GIOVANNI
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Critical Kirchhoff equations involving the -sub-Laplacians operators on the Heisenberg group
Bulletin of Mathematical Sciences, 2023 In this paper, we deal with a class of Kirchhoff-type critical elliptic equations involving the [Formula: see text]-sub-Laplacians operators on the Heisenberg group of the form M(∥DHu∥pp + ∥u∥ p,Vp)[−Δ H,pu + V (ξ)|u|p−2u] = λf(ξ,u) + |u|p∗−2u,ξ ∈ ℍn,u ...
Xueqi Sun +3 more
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Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group [PDF]
Transactions of the American Mathematical Society, 2018 A Semmes surface in the Heisenberg group is a closed set S S that is upper Ahlfors-regular with codimension one and satisfies the following condition, referred to as Condition B. Every ball B ( x , r ) B(x,r) with x ∈
Katrin Fassler +2 more
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The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We prove that, in the first Heisenberg group H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
S. Nicolussi, Francesco Serra Cassano
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p-Mechanics and Field Theory [PDF]
, 2004 The orbit method of Kirillov is used to derive the p-mechanical brackets [math-ph/0007030, quant-ph/0212101]. They generate the quantum (Moyal) and classic (Poisson) brackets on respective orbits corresponding to representations of the Heisenberg group ...
Kisil, Vladimir V.
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Quantum holonomies and the Heisenberg group [PDF]
Modern Physics Letters A, 2019 Quantum holonomies of closed paths on the torus [Formula: see text] are interpreted as elements of the Heisenberg group [Formula: see text]. Group composition in [Formula: see text] corresponds to path concatenation and the group commutator is a deformation of the relator of the fundamental group [Formula: see text] of [Formula: see text], making ...
J. E. Nelson, R. F. Picken
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