Results 1 to 10 of about 204 (37)
Stable solutions of symmetric systems involving hypoelliptic operators [PDF]
Journal of Functional Analysis, 2018 Please see the article for the abstract.Comment: To appear in Journal of Functional Analysis in March 2018. 33 pages in journal format.
Fazly, Mostafa
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Journal of Mathematical Inequalities, 2022 Let G = ( RN ,◦,δλ ) be a homogeneous group, Q be the homogeneous dimension of G , X0,X1, . . . ,Xm be left invariant real vector fields on G and satisfy Hörmander’s rank condition on RN . Assume that X1, . . . ,Xm (m N − 1) are homogeneous of degree one
V. Guliyev
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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
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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
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, 2013 Mouffak BenchohraUniversit´e de Sidi Bel-Abb`esLaboratoire de Math´ematiques,BP 89, 22000 Sidi Bel-Abb`es, Alg´eriebenchohra@univ-sba.dzFatima-Zohra MostefaiUniversit´e de SaidaD´epartement de Math´ematiques,BP 138 Cit´e Ennasr, 20000, Saida, Alg´erief.z.
M. Benchohra, F. Mostefai
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Lacasa de alto potencial redox funcional en sangre mediante evolución dirigida método de obtención y sus aplicaciones [PDF]
, 2013 La presente invención describe una lacasa de alto potencial redox obtenida mediante evolución molecular dirigida que es activa en condiciones electrofisiológicas, que resiste elevadas concentraciones de haluros, que tiene una actividad ...
Alcalde Galeote, Miguel +6 more
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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
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Some properties of solutions to weakly hypoelliptic equations [PDF]
, 2013 A linear different operator L is called weakly hypoelliptic if any local solution u of Lu=0 is smooth. We allow for systems, that is, the coefficients may be matrices, not necessarily of square size.
Baer, Christian
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Laurent series expansion for solutions of hypoelliptic equations
, 2002 We prove that any zero solution of a hypoelliptic partial differential operator can be expanded in a generalized Laurent series near a point singularity if and only if the operator is semielliptic. Moreover, the coefficients may be calculated by means of
M. Langenbruch
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Conservations Laws for Critical Kohn-Laplace Equations on the Heisenberg Group
, 2007 Using the complete group classification of semilinear differential equations on the three-dimensional Heisenberg group carried out in a preceding work, we establish the conservation laws for the critical Kohn-Laplace equations via the Noether's Theorem ...
Bozhkov, Yuri, Freire, Igor Leite
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