Results 51 to 60 of about 25,094,278 (198)

Dynamics for wave equations connected in parallel with nonlinear localized damping

Advances in Nonlinear Analysis
This study investigates the properties of solutions about one-dimensional wave equations connected in parallel under the effect of two nonlinear localized frictional damping mechanisms.
Gao Yunlong, Sun Chunyou, Zhang Kaibin
doaj   +1 more source

Microlocal analysis of ultradistributions [PDF]

Proceedings of the American Mathematical Society, 1998
The ultradistributional wave front sets of an ultradistribution u u are characterized by the behaviour of K ∗ u K *u on the boundary of the tube domain D R n D \mathbf {R}^n , where K K is the ...
openaire   +2 more sources

The quantization of Maxwell theory in the Cauchy radiation gauge: Hodge decomposition and Hadamard states

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new
Simone Murro, Gabriel Schmid
wiley   +1 more source

Geometric microlocal analysis in Denjoy–Carleman classes [PDF]

Pacific Journal of Mathematics, 2020
Section 6 was revised, in particular in Theorem 6.1 an additional condition on the weight sequence has to be assumed and its proof was adapted; several typos were fixed throughout the ...
openaire   +4 more sources

Microflexiblity and local integrability of horizontal curves

Mathematische Nachrichten, Volume 297, Issue 9, Page 3252-3287, September 2024.
Abstract Let ξ$\xi$ be an analytic bracket‐generating distribution. We show that the subspace of germs that are singular (in the sense of control theory) has infinite codimension within the space of germs of smooth curves tangent to ξ$\xi$. We formalize this as an asymptotic statement about finite jets of tangent curves.
Álvaro del Pino, Tobias Shin
wiley   +1 more source

Regular Bohr-Sommerfeld quantization rules for a h-pseudo-differential operator: The method of positive commutators

, 2016
We revisit in this Note the well known Bohr-Sommerfeld quantization rule (BS) for 1-D Pseudo-differential self-adjoint Hamiltonians within the algebraic and microlocal framework of Helffer and Sj\"ostrand; BS holds precisely when the Gram matrix ...
Ifa, Abdelwaheb, Rouleux, Michel
core   +5 more sources

An essay on semiclassical analysis for microlocal singularities, turbulence intensity and integration of singularities by Schrödinger equation in probabilistic behavior

Observatorio de la Economía Latinoamericana
The Schrödinger equation governs the probabilistic behavior of quantum particles through the wave function. Microlocal singularities denote regions with significantly high probability density or abrupt changes therein.
Jorge Henrique de Oliveira Sales, Rômulo Damasclin Chaves dos Santos   +1 more
semanticscholar   +1 more source

Environmental heterogeneity structures root‐associated fungal communities in Daphne arbuscula (Thymelaeaceae), a shrub adapted to extreme rocky habitats

Molecular Ecology, Volume 33, Issue 15, August 2024.
Abstract Rocky habitats, globally distributed ecosystems, harbour diverse biota, including numerous endemic and endangered species. Vascular plants thriving in these environments face challenging abiotic conditions, requiring diverse morphological and physiological adaptations.
Zuzana Gajdošová, Miroslav Caboň, Zuzana Kolaříková, Radka Sudová, Jana Rydlová, Ingrid Turisová, Peter Turis, Jaromír Kučera, Marek Slovák   +8 more
wiley   +1 more source

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

Invariant distributions and the transport twistor space of closed surfaces

Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.
Abstract We study transport equations on the unit tangent bundle of a closed oriented Riemannian surface and their links to the transport twistor space of the surface (a complex surface naturally tailored to the geodesic vector field). We show that fibrewise holomorphic distributions invariant under the geodesic flow — which play an important role in ...
Jan Bohr, Thibault Lefeuvre, Gabriel P. Paternain   +2 more
wiley   +1 more source