Results 31 to 40 of about 3,513,590 (164)
Hypoelliptic functional inequalities [PDF]
, 2018 In this paper we derive a variety of functional inequalities for general homogeneous invariant hypoelliptic differential operators on nilpotent Lie groups.
Ruzhansky, Michael +1 more
core +2 more sources
Bruno Pini Mathematical Analysis Seminar, 2016 For every bounded open set Ω in RN+1, we study the first boundary problem for a wide class of hypoelliptic evolution operators. The operators are assumed to be endowed with a well behaved global fundamental solution that allows us to construct a ...
Alessia E. Kogoj
doaj +1 more source
Global Hypoellipticity for Strongly Invariant Operators
, 2020 In this note, by analyzing the behavior at infinity of the matrix symbol of an invariant operator $P$ with respect to a fixed elliptic operator, we obtain a necessary and sufficient condition to guarantee that $P$ is globally hypoelliptic.
de Moraes, Wagner Augusto Almeida +1 more
core +1 more source
On Liouville-type theorems and the uniqueness of the positive Cauchy problem for a class of hypoelliptic operators [PDF]
, 2015 This note contains a representation formula for positive solutions of linear degenerate second-order equations of the form $$ \partial_t u (x,t) = \sum_{j=1}^m X_j^2 u(x,t) + X_0 u(x,t) \qquad (x,t) \in \mathbb{R}^N \times\, ]- \infty ,T[,$$ proved by a ...
Kogoj, Alessia E. +2 more
core +2 more sources
Hypoelliptic convolution equations in the space 𝒦’ₑ [PDF]
Transactions of the American Mathematical Society, 1986 We consider convolution equations in the space K e ′ \mathcal {K}_e’ of distributions which "grow" no faster than exp ( e k | x |
openaire +1 more source
Theory of B(X)‐Module: Algebraic Module Structure of Generally Unbounded Infinitesimal Generators
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 The concept of logarithmic representation of infinitesimal generators is introduced, and it is applied to clarify the algebraic structure of bounded and unbounded infinitesimal generators. In particular, by means of the logarithmic representation, the bounded components can be extracted from generally unbounded infinitesimal generators.
Yoritaka Iwata, Ricardo Weder
wiley +1 more source
Global $L^{p}$ estimates for degenerate Ornstein-Uhlenbeck operators with variable coefficients [PDF]
, 2012 We consider a class of degenerate Ornstein-Uhlenbeck operators in $\mathbb{R}^{N}$, of the kind [\mathcal{A}\equiv\sum_{i,j=1}^{p_{0}}a_{ij}(x) \partial_{x_{i}x_{j}}^{2}+\sum_{i,j=1}^{N}b_{ij}x_{i}\partial_{x_{j}}%] where $(a_{ij})$ is symmetric ...
+13 more
core +3 more sources
The sharp maximal function approach to $L^{p}$ estimates for operators structured on H\"{o}rmander's vector fields [PDF]
, 2015 We consider a nonvariational degenerate elliptic operator structured on a system of left invariant, 1-homogeneous, H\"ormander's vector fields on a Carnot group in $R^{n}$, where the matrix of coefficients is symmetric, uniformly positive on a bounded ...
Bramanti, Marco, Toschi, Marisa
core +2 more sources
Hypoelliptic regularity in kinetic equations
Journal de Mathématiques Pures et Appliquées, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Null-controllability of hypoelliptic quadratic differential equations [PDF]
Journal de l’École polytechnique — Mathématiques, 2017 We study the null-controllability of parabolic equations associated with a general class of hypoelliptic quadratic differential operators. Quadratic differential operators are operators defined in the Weyl quantization by complex-valued quadratic symbols.
Beauchard, Karine, Pravda-Starov, Karel
openaire +5 more sources