Results 21 to 30 of about 228 (55)

On the asymptotic expansion of the solutions of the separated nonlinear Schroedinger equation

, 2000
Nonlinear Schr\"odinger equation (with the Schwarzian initial data) is important in nonlinear optics, Bose condensation and in the theory of strongly correlated electrons.
A.A. Kapaev, Ablowitz, Calogero, Deift, Dodd, Faddeev, Gardner, Göhmann, Göhmann, Göhmann, Its, Its, Kim, Lax, Manakov, Segur, Segur, V.E. Korepin, Zakharov, Zakharov, Zakharov, Zakharov   +21 more
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Analytic and Gevrey Hypoellipticity for Perturbed Sums of Squares Operators

, 2017
We prove a couple of results concerning pseudodifferential perturbations of differential operators being sums of squares of vector fields and satisfying H\"ormander's condition.
A Gilioli, A Grigis, Antonio Bove, EM Stein, FA Berezin, G Chinni, G Métivier, Gregorio Chinni, J Sjöstrand, L Hörmander, L Hörmander, L Hörmander, L Preiss Rothschild, M Derridj, M Derridj, M Mughetti, N Braun Rodrigues, P Albano, P Albano, P Bolley   +19 more
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Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates

, 2012
We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence operator.
Ponce, Augusto C.
core   +1 more source

A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation [PDF]

, 2017
We linearize the Einstein-scalar field equations, expressed relative to constant mean curvature (CMC)-transported spatial coordinates gauge, around members of the well-known family of Kasner solutions on $(0,\infty) \times \mathbb{T}^3$.
Rodnianski, Igor, Speck, Jared
core   +2 more sources

On the Holomorphic Extension of Solutions of Elliptic Pseudodifferential Equations [PDF]

, 2012
2010 Mathematics Subject Classification: 35B65, 35S05, 35A20.We derive analytic estimates and holomorphic extensions for the solutions of a class of elliptic pseudodifferential equations on ...
Cappiello, Marco, Nicola, Fabio
core  

Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems

, 2002
We show in this article that the Reeh-Schlieder property holds for states of quantum fields on real analytic spacetimes if they satisfy an analytic microlocal spectrum condition.
Alexander Strohmaier, Beckman D., Borchers H. J., Bros J., Bros J., Bros J., Bros J., Bros J., Bros J., Brunetti R., Buchholz D., Buchholz D., Bär C., Dimock J., Duistermaat J. J., Fulling S. A., Halvorson H., Hollands S., Hollands S., Junker W., Jäkel C. D., Jäkel C. D., Kratzert K., Manfred Wollenberg, Radzikowski M. J., Rainer Verch, Sahlmann H., Sahlmann H., Strohmaier A., Summers S. J., Summers S. J., Verch R., Verch R., Wald R. M.   +33 more
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The Inviscid, Compressible and Rotational, 2D Isotropic Burgers and Pressureless Euler-Coriolis Fluids; Solvable models with illustrations

, 2014
The coupling between dilatation and vorticity, two coexisting and fundamental processes in fluid dynamics is investigated here, in the simplest cases of inviscid 2D isotropic Burgers and pressureless Euler-Coriolis fluids respectively modeled by single ...
Choquard, Philippe, Vuffray, Marc
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Solución aproximada de sistemas diferenciales mixtos

Ingeniería y Ciencia, 2009
En este artículo se propone encontrar una solución aproximada para problemas de valor en la frontera y problemas de valor inicial de un sistema diferencial utilizando el método de los desarrollos de Fer.
Jorge I. Castaño–Bedoya, Orlando García–Jaimes, José A. Sánchez–Cano   +2 more
doaj  

Operators with Polynomial Coefficients and Generalized Gelfand-Shilov Classes [PDF]

, 2012
2010 Mathematics Subject Classification: Primary 35S05, 35J60; Secondary 35A20, 35B08, 35B40.We study the problem of the global regularity for linear partial differential operators with polynomial coefficients.
Calvo, Daniela, De Donno, Giuseppe, Rodino, Luigi   +2 more
core  

Exponentially sparse representations of Fourier integral operators

, 2015
We investigate the sparsity of the Gabor-matrix representation of Fourier integral operators with a phase having quadratic growth. It is known that such an infinite matrix is sparse and well organized, being in fact concentrated along the graph of the ...
Cordero, Elena, Nicola, Fabio, Rodino, Luigi   +2 more
core   +1 more source