Results 21 to 30 of about 299 (65)
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 +19 more
core +1 more source
Group Classification of a Generalized Black--Scholes--Merton Equation [PDF]
, 2013 The complete group classification of a generalization of the Black-Scholes-Merton model is carried out by making use of the underlying equivalence and additional equivalence transformations. For each non linear case obtained through this classification, invariant solutions are given.
arxiv +1 more source
On a Class of Globally Analytic Hypoelliptic Sums of Squares [PDF]
arXiv, 2022 We consider sums of squares operators globally defined on the torus. We show that if some assumptions are satisfied the operators are globally analytic hypoelliptic. The purpose of the assumptions is to rule out the existence of a Hamilton leaf on the characteristic variety lying along the fiber of the cotangent bundle, i.e. the case of the (global) M\'
arxiv
, 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
core +1 more source
Results in Physics, 2020 The positron nonthermality contributions on nonlinear wave aspects of periodic solitary, shocklikes, rational, and explosive waves which exists for the critical features depicted by modified KP equation in earths space of regions D and F ionic plasma ...
H.G. Abdelwahed +1 more
doaj
Group Classification of a generalization of the Heath Equation [PDF]
, 2013 The complete group classification of a generalization of the Heath model is carried out by connecting it to the heat equation with nonlinear source. Examples of invariant solutions are given under the terminal and the barrier option condition.
arxiv +1 more source
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 +2 more
core +1 more source
Analytic regularity of global solutions for the b-equation [PDF]
arXiv, 2023 In this paper, we delve into the $b$-family of equations and explore regularity properties of its global solutions. Our findings reveal that, irrespective of the real choice of the constitutive parameter, when the initial datum is confined to an analytic Gevrey function the resulting global solution is analytic in both temporal and spatial variables.
arxiv
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 +2 more
core
, 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 +33 more
core +1 more source