Results 21 to 30 of about 359,042 (221)

Liouville Theorem for Heat Equation Along Ancient Super Ricci Flow Via Reduced Geometry [PDF]

open access: yes, 2021
The aim of this article is to provide a Liouville theorem for heat equation along ancient super Ricci flow. We formulate such a Liouville theorem under a growth condition concerning Perelman’s reduced distance.journal ...
國川, 慶太   +6 more
core  

A Two Well Liouville Theorem [PDF]

open access: yesESAIM: Control, Optimisation and Calculus of Variations, 2005
Summary: We analyse the structure of approximate solutions to the compatible two-well problem with the constraint that the surface energy of the solution is less than some fixed constant. We prove a quantitative estimate that can be seen as a two-well analogue of the Liouville theorem of \textit{G. Friesecke}, \textit{R. D. James} and \textit{S. Müller}
openaire   +1 more source

Liouville’s theorem for generalized harmonic function [PDF]

open access: yesAnalysis and Mathematical Physics, 2020
In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
Weihua Wang, Qihua Ruan
openaire   +2 more sources

Asymptotic Stability Results for Nonlinear Fractional Difference Equations

open access: yesJournal of Applied Mathematics, 2012
We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-likedifference operator.
Fulai Chen, Zhigang Liu
doaj   +1 more source

A new kind of uniqueness theorems for inverse Sturm-Liouville problems

open access: yesBoundary Value Problems, 2017
We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyan’s theorem.
Yuri Ashrafyan
doaj   +1 more source

Extensions of a theorem of Cauchy–Liouville

open access: yesJournal of Mathematical Analysis and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CUCCU, FABRIZIO, MOHAMMED A, PORRU G.
openaire   +1 more source

An extension of Milloux's theorem to half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2000
A theorem of Milloux (1934) concerning the Sturm-Liouville differential equations is extended to the so-called half-linear differential equations.
Á. Elbert, F. V. Atkinson
doaj   +1 more source

Fractional derivative generalization of Noether’s theorem

open access: yesOpen Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam   +2 more
doaj   +1 more source

Multiplicity of Homoclinic Solutions for Fractional Hamiltonian Systems with Subquadratic Potential

open access: yesEntropy, 2017
In this paper, we study the existence of homoclinic solutions for the fractional Hamiltonian systems with left and right Liouville–Weyl derivatives. We establish some new results concerning the existence and multiplicity of homoclinic solutions for the ...
Neamat Nyamoradi   +3 more
doaj   +1 more source

Liouville Theorem for Dunkl Polyharmonic Functions

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
Assume that $f$ is Dunkl polyharmonic in $mathbb{R}^n$ (i.e. $(Delta_h)^p f=0$ for some integer $p$, where $Delta_h$ is the Dunkl Laplacian associated to a root system $R$ and to a multiplicity function $kappa$, defined on $R$ and invariant with respect ...
Guangbin Ren, Liang Liu
doaj   +1 more source

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