Results 71 to 80 of about 3,513,590 (164)
Hypoellipticity for infinitely degenerate quasilinear equations and the dirichlet problem [PDF]
Journal d'Analyse Mathématique, 2013 45 pages, 4 ...
Rios, Cristian +2 more
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The Metivier inequality and ultradifferentiable hypoellipticity
Mathematische Nachrichten, Volume 297, Issue 7, Page 2517-2531, July 2024.Abstract In 1980, Métivier characterized the analytic (and Gevrey) hypoellipticity of L2$L^2$‐solvable partial linear differential operators by a priori estimates. In this note, we extend this characterization to ultradifferentiable hypoellipticity with respect to Denjoy–Carleman classes given by suitable weight sequences. We also discuss the case when
Paulo D. Cordaro, Stefan Fürdös
wiley +1 more source
Harnack inequalities for hypoelliptic evolution operators: geometric issues and applications
Bruno Pini Mathematical Analysis Seminar, 2012 We consider linear second order Partial Differential Equations in the form of "sum of squares of Hörmander vector fields plus a drift term" on a given domain.
Sergio Polidoro
doaj
Compactness in kinetic transport equations and hypoellipticity
Journal of Functional Analysis, 2011 The authors establish improved hypoelliptic estimates on the solutions of kinetic transport equations, using a suitable decomposition of the phase space. It is shown that the relative compactness in all variables of a bounded family of nonnegative functions \(f_\lambda(x,v)\in L^1\) satisfying some appropriate transport relation \[ v\cdot \nabla_x f_ ...
Arsénio, Diogo, Saint-Raymond, Laure
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Bulletin of the London Mathematical Society, Volume 56, Issue 3, Page 981-1003, March 2024.Abstract We study the linear relaxation Boltzmann equation on the torus with a spatially varying jump rate which can be zero on large sections of the domain. In Bernard and Salvarani (Arch. Ration. Mech. Anal. 208 (2013), no. 3, 977–984), Bernard and Salvarani showed that this equation converges exponentially fast to equilibrium if and only if the jump
Josephine Evans, Iván Moyano
wiley +1 more source
, 1998 We study the statistical mechanics of a finite-dimensional non-linear Hamiltonian system (a chain of anharmonic oscillators) coupled to two heat baths (described by wave equations).
Eckmann, Jean-Pierre +2 more
core +4 more sources
The Cheeger problem in abstract measure spaces
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We consider nonnegative σ$\sigma$‐finite measure spaces coupled with a proper functional P$P$ that plays the role of a perimeter. We introduce the Cheeger problem in this framework and extend many classical results on the Cheeger constant and on Cheeger sets to this setting, requiring minimal assumptions on the pair measure space perimeter ...
Valentina Franceschi +3 more
wiley +1 more source
, 2016 We show how to apply harmonic spaces potential theory in the study of the Dirichlet problem for a general class of evolution hypoelliptic partial differential equations of second order.
Kogoj, Alessia E.
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Hypoelliptic Degenerate Evolution Equations of the Second Order
Publications of the Research Institute for Mathematical Sciences, 1975 For degenerate parabolic differential operators, the study of hypoellipticity has been made by many authors (see [1]~[9]). But for degenerate ]?-parabolie differential operators, its study has not been made so detailed (see F. Treves [10]). So we shall give a sufficient condition for the operator given by (0.1) to be hypoelliptic by constructing very ...
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Concentrations in kinetic transport equations and hypoellipticity
, 2010 31 pages, 1 figure Paper withdrawn.
Arsénio, Diogo, Saint-Raymond, Laure
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