Results 31 to 40 of about 229 (132)
Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 2022 In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A‐harmonic approximation, where the coefficients in the nonlinear subelliptic system are discontinuous and satisfy ...
Junli Zhang +2 more
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Papers in Palaeontology, Volume 7, Issue 3, Page 1657-1698, August 2021., 2021 Abstract New, accurately located and well‐preserved agnostid trilobite material has been collected from the type locality of the Drumian (middle Cambrian, Miaolingian) Manuels River Formation, Newfoundland, Canada. The well‐exposed grey to black shales containing the fauna were deposited on the former microcontinent Avalonia.
Anne Hildenbrand +4 more
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Propagation of Singularities for Subelliptic Wave Equations
Communications in Mathematical Physics, 2022 H{ö}rmander's propagation of singularities theorem does not fully describe the propagation of singularities in subelliptic wave equations, due to the existence of doubly characteristic points. In the present work, building upon a visionary conference paper by R.
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Global higher integrability for very weak solutions to nonlinear subelliptic equations
Boundary Value Problems, 2017 In this paper we consider the following nonlinear subelliptic Dirichlet problem: { X ∗ A ( x , u , X u ) + B ( x , u , X u ) = 0 , x ∈ Ω , u − u 0 ∈ W X , 0 1 , r ( Ω ) , $$ \textstyle\begin{cases} X^{*}A(x,u,Xu)+ B(x,u,Xu)=0,& x\in\Omega,\\ u-u_{0}\in ...
Guangwei Du, Junqiang Han
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Regularity of subelliptic Monge–Ampère equations
Advances in Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rios, Cristian +2 more
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Some Properties of Solutions to Weakly Hypoelliptic Equations
International Journal of Differential Equations, 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.
Christian Bär
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Degenerate Sobolev spaces and regularity of subelliptic equations [PDF]
Transactions of the American Mathematical Society, 2009 We develop a notion of degenerate Sobolev spaces naturally associated with nonnegative quadratic forms that arise from a large class of linear subelliptic equations with rough coefficients. These Sobolev spaces allow us to make the widest possible definition of a weak solution that leads to local Hölder continuity of solutions, extending our results in
Sawyer, Eric T., Wheeden, Richard L.
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Multiplicity of solutions of quasilinear subelliptic equations on Heisenberg group
Applied Mathematical Sciences, 2017 Fanglan Li, Gao Jia
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Ecology and Evolution, Volume 16, Issue 2, February 2026.We investigated both fine‐scale SGS and leaf shape variation in five Fagaceae species (Q. glauca, Q. multinervis, C. tibetana, C. faberi, and C. fargesii) from the genera Quercus and Castanopsis in Wuyishan National Park. We found that Quercus species exhibit stronger fine‐scale SGS than Castanopsis species.
Rongle Wang +6 more
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Abstract and Applied Analysis, Volume 2019, Issue 1, 2019., 2019 We define and study C1‐solutions of the Aronsson equation (AE), a second order quasi linear equation. We show that such super/subsolutions make the Hamiltonian monotone on the trajectories of the closed loop Hamiltonian dynamics. We give a short, general proof that C1‐solutions are absolutely minimizing functions.
Pierpaolo Soravia, Ying Hu
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