Results 31 to 40 of about 109 (95)
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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Abstract We describe the Hettangian Caenogastropoda and Heterobranchia of the Luxembourg Sandstone Formation, a wedge of clastic sediments deposited along the eastern margin of Paris Basin during the Early Jurassic. Five new genera and 11 new species are erected: Bourguetia bipartita sp. nov., Globularia delsatei sp. nov., Oonia feidtorum sp.
Stefano Monari +3 more
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Herz‐Type Hardy Spaces Associated with Operators
Suppose L is a nonnegative, self‐adjoint differential operator. In this paper, we introduce the Herz‐type Hardy spaces associated with operator L. Then, similar to the atomic and molecular decompositions of classical Herz‐type Hardy spaces and the Hardy space associated with operators, we prove the atomic and molecular decompositions of the Herz‐type ...
Yan Chai +3 more
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Abstract We describe a high‐diversity silicified assemblage of marine molluscs (Pelsa‐Vazzoler Lagerstätte) from the upper Ladinian of the Agordo Dolomites (northeastern Italy). New data on the Triassic rebound, after the end‐Permian mass extinction, constrain it to an interval of relatively stable climatic conditions.
Stefano Dominici +2 more
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Nonlinear subelliptic Schrodinger equations with external magnetic field
To account for an external magnetic field in a Hamiltonian of a quantum system on a manifold (modelled here by a subelliptic Dirichlet form), one replaces the the momentum operator $frac 1i d$ in the subelliptic symbol by $frac 1i d-alpha$, where ...
Kyril Tintarev
doaj
Closed 3‐forms in five dimensions and embedding problems
Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
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Subelliptic Wave Equations with Log-Lipschitz coefficients
In this paper we study the Cauchy problem for the wave equations for sums of squares of left invariant vector fields on compact Lie groups and also for hypoelliptic homogeneous left-invariant differential operators on graded Lie groups (the positive Rockland operators), when the time-dependent propagation speed satisfies a Log-Lipschitz condition.
Torijano, Carlos Andres Rodriguez +1 more
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Singular CR structures of constant Webster curvature and applications
Abstract We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if ...
Chiara Guidi +2 more
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Abstract An unusually rich and diverse suite of virgianid brachiopods, hitherto poorly known, is systematically described here for the first time from the Ordovician–Silurian boundary interval (late Katian – Aeronian) of North Greenland. The Late Ordovician virgianids comprise typical taxa of the warm‐water Tcherskidium fauna (e.g.
Jisuo Jin +3 more
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Limiting behavior of solutions of subelliptic heat equations [PDF]
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.
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