Functions holomorphic along holomorphic vector fields [PDF]
Journal of Geometric Analysis, July 2009, Volume 19, Issue 3, pp
655-666, 2008 The main result of the paper is the following generalization of Forelli's theorem: Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable with the eigenvalues whose ratios are positive reals.
B.V. Shabat +7 more
arxiv +3 more sources
Decay rates for mild solutions of QGE with critical fractional dissipation in $L^2(\mathbb{R}^2)$ [PDF]
arXiv, 2023 In \cite{MRSC1} the authors proved some asymptotic results for the global solution of critical Quasi-geostrophic equation with a condition on the decay of $\widehat{\theta_0}$ near at zero. In this paper, we prove that this condition is not necessary. Fourier analysis and standard techniques are used.
Benameur, Jamel
arxiv +2 more sources
Wave packet analysis of Schrodinger equations in analytic function spaces [PDF]
, 2015 We consider a class of linear Schroedinger equations in R^d, with analytic symbols. We prove a global-in-time integral representation for the corresponding propagator as a generalized Gabor multiplier with a window analytic and decaying exponentially at ...
Cordero, Elena +2 more
core +2 more sources
Analytical regularizing effect for the radial and spatially homogeneous Boltzmann equation [PDF]
, 2012 In this paper, we consider a class of spatially homogeneous Boltzmann equation without angular cutoff.
Glangetas, Léo, Najeme, Mohamed
core +3 more sources
Analytical Solutions of the Black–Scholes Pricing Model for European Option Valuation via a Projected Differential Transformation Method [PDF]
, 2015 In this paper, a proposed computational method referred to as Projected Differential Transformation Method (PDTM) resulting from the modification of the classical Differential Transformation Method (DTM) is applied, for the first time, to the Black ...
Edeki, S.O. +2 more
core +2 more sources
The p-Laplace equation in domains with multiple crack section via pencil operators [PDF]
, 2014 The p-Laplace equation $$ \n \cdot (|\n u|^n \n u)=0 \whereA n>0, $$ in a bounded domain $\O \subset \re^2$, with inhomogeneous Dirichlet conditions on the smooth boundary $\p \O$ is considered.
Alvarez-Caudevilla, Pablo +1 more
core +2 more sources
Regularity and decay of solutions of nonlinear harmonic oscillators [PDF]
, 2011 We prove sharp analytic regularity and decay at infinity of solutions of variable coefficients nonlinear harmonic oscillators. Namely, we show holomorphic extension to a sector in the complex domain, with a corresponding Gaussian decay, according to the ...
Cappiello, Marco, Nicola, Fabio
core +2 more sources
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 +21 more
core +4 more sources
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
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