Results 31 to 40 of about 299 (65)
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 +2 more
doaj
Analyticity for Solution of Integro-Differential Operators [PDF]
arXiv, 2020 We prove that for a certain class of kernels $K(y)$ that viscosity solutions of the integro-differential equation $$ \int_{\mathbb R^n} (u(x+y) - 2 u(x) + u(x-y)) K(y) dy = f(x,u(x)) $$ are locally analytic if $f$ is an analytic function. This extends the result of Albanese, Fiscella, Valdinoci that such solutions belong to certain Gevrey classes.
arxiv
The development of the deterministic nonlinear PDEs in particle physics to stochastic case
Results in Physics, 2018 In the present work, accuracy method called, Riccati-Bernoulli Sub-ODE technique is used for solving the deterministic and stochastic case of the Phi-4 equation and the nonlinear Foam Drainage equation.
Mahmoud A.E. Abdelrahman, M.A. Sohaly
doaj
On the analyticity of solutions to non-linear elliptic partial differential equations [PDF]
arXiv, 2020 We give an easy proof of the fact that $C^\infty$ solutions to non-linear elliptic equations of second order $$ \phi(x, u, D u, D^2 u)=0 $$ are analytic. Following ideas of Kato, the proof uses an inductive estimate for suitable weighted derivatives. We then conclude the proof using Cauchy's method of majorants}.
arxiv
WKB eigenmode construction for analytic Toeplitz operators
, 2022 We provide almost eigenfunctions for Toeplitz operators with real-analytic symbols, at the bottom of non-degenerate wells. These almost eigenfunctions follow the WKB ansatz; the error is O(exp(--cN)), where c > 0 and N $\rightarrow$ +$\infty$ is the ...
Deleporte, Alix
core
The Witten deformation for even dimensional conformally conic manifolds [PDF]
arXiv, 2010 The goal of this article is to generalise the Witten deformation to even dimensional conic manifolds and a class of functions called admissible Morse functions.
arxiv
Analyticity of the solutions to degenerate Monge-Ampère equations [PDF]
arXiv, 2020 This paper is devoted to study the following degenerate Monge-Amp\`ere equation: \begin{eqnarray}\label{ab1} \begin{cases} \det D^2 u=\Lambda_q (-u)^q \quad \text{in}\quad \Omega,\\ u=0 \quad\text{on}\quad \partial\Omega \end{cases} \end{eqnarray} for some positive constant $\Lambda_q$. Suppose $\Omega\subset\subset \mathbb R^n$ is uniformly convex and
arxiv
Some examples of singular fluid flows [PDF]
arXiv, 2001 We explain the construction of some solutions of the Stokes system with a given set of singular points, in the sense of Caffarelli, Kohn and Nirenberg. By means of a partial regularity theorem (proved elsewhere), it turns out that we are able to show the existence of a suitable weak solution to the Navier-Stokes equations with a singular set of ...
arxiv
The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
, 2007 We numerically construct black hole solutions corresponding to the deconfined, chirally symmetric phase of strongly coupled cascading gauge theories at various temperatures. We compute the free energy as a function of the temperature, and we show that it
Alex Buchel +5 more
core +1 more source
A probabilistic representation for the vorticity of a 3D viscous fluid and for general systems of parabolic equations [PDF]
arXiv, 2003 A probabilistic representation formula for general systems of linear parabolic equations, coupled only through the zero-order term, is given. On this basis, an implicit probabilistic representation for the vorticity in a 3D viscous fluid (described by the Navier-Stokes equations) is carefully analysed, and a theorem of local existence and uniqueness is
arxiv