Results 1 to 10 of about 229 (132)
Subelliptic wave equations are never observable [PDF]
Analysis & PDE, 2023 It is well-known that observability (and, by duality, controllability) of the elliptic wave equation, i.e., with a Riemannian Laplacian, in time $T_0$ is almost equivalent to the Geometric Control Condition (GCC), which stipulates that any geodesic ray meets the control set within time $T_0$.
Cyril Letrouit
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Singular subelliptic equations and Sobolev inequalities on nilpotent Lie\n groups [PDF]
, 2021 14 ...
Prashanta Garain, Alexander Ukhlov
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Gevrey regularity of subelliptic Monge-Ampère equations in the plane [PDF]
Advances in Mathematics, 2009 22 ...
Hua Chen, Wei‐Xi Li, Chao-Jiang Xu
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Subelliptic equations with singular nonlinearities on the Heisenberg group [PDF]
Boundary Value Problems, 2018 In this paper, we consider the Dirichlet boundary value problem to singular semilinear subelliptic equation on the Heisenberg group − Δ H u = 1 u γ + f ( u ) , γ > 0 . $$-\Delta_{\mathbb{H}}u=\frac{1}{u^{\gamma}}+f(u), \quad \gamma>0.
Xinjing Wang, Yongzhong Wang
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Subelliptic and parametric equations on Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2015 This article concerns a class of elliptic equations on Carnot groups depending on one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problem by using a direct consequence of the celebrated Pucci-Serrin theorem and of a local minimum result for ...
Giovanni Molica Bisci +1 more
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Harnack inequality for subelliptic p-Laplacian equations of Schrödinger type [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuxing Guo, Yinsheng Jiang
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Limiting behavior of solutions of subelliptic heat equations [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2007 We investigate the behavior, as e → 0+, of e log we (t, x) where we are solutions of a suitable family of subelliptic heat equations. Using the Large Deviation Principle, we show that the limiting behavior is described by the metric inf-convolution w.r.t. the associated Carnot-Caratheodory distance.
Federica Dragoni
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Partial regularity for solutions to subelliptic eikonal equations [PDF]
Comptes Rendus. Mathématique, 2018 On a bounded domain Ω in the Euclidean space Rn, we study the homogeneous Dirichlet problem for the eikonal equation associated with a system of smooth vector fields, which satisfies Hörmander's bracket generating condition. We prove that the solution is smooth in the complement of a closed set of Lebesgue measure zero.
Paolo G. Albano +2 more
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On the Subelliptic Eikonal Equation
Bruno Pini Mathematical Analysis Seminar, 2018 Bruno Pini Mathematical Analysis Seminar, Seminars ...
Paolo G. Albano
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Boundary Behavior of Subelliptic Parabolic Equations on Time-Dependent\n Domains [PDF]
, 2013 In this paper we study the boundary behavior of solutions of a divergence-form subelliptic heat equation in a time-varying domain in R^{n+1}, structured on a set of vector fields X = (X_1, ... X_m) with smooth coefficients satisfying H rmander's finite rank condition.
Marie Frentz, Elin Götmark
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