Results 81 to 90 of about 654,091 (289)
A Liouville theorem for ancient solutions to a semilinear heat equation and its elliptic counterpart
, 2020 We establish the nonexistence of nontrivial ancient solutions to the nonlinear heat equation $u_t=\Delta u+|u|^{p-1}u$ which are smaller in absolute value than the self-similar radial singular steady state, provided that the exponent $p$ is strictly ...
Sourdis, Christos
core
The Liouville theorems for elliptic equations with nonstandard growth [PDF]
, 2014 We study solutions and supersolutions of homogeneous and nonhomogeneous $\mathcal{A}$-harmonic equations with nonstandard growth in $\mathbb{R}^n$. Various Liouville-type theorems and nonexistence results are proved.
Tomasz Adamowicz, P. G'orka
semanticscholar +1 more source
Charging a quantum battery from the Bloch Sphere
Annalen der Physik, Volume 538, Issue 1, January 2026.This study uncovers the origin of the ergotropy stockpiled during the charging of a quantum battery, as well as the genesis of the battery capacity. It is found that both coherences and population inversion can meaningfully contribute, and the balance between these two mechanisms is intimately related to the initial state of the charger as well as the ...
Charles Andrew Downing +1 more
wiley +1 more source
A view on Liouville theorems in PDEs
Analysis and Geometry in Metric SpacesOur review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Mitidieri Enzo
doaj +1 more source
Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem
Abstract and Applied Analysis, 2014 By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under ...
Wenzhe Xie, Jing Xiao, Zhiguo Luo
doaj +1 more source
Lp - Liouville theorems for invariant evolution equations
Bruno Pini Mathematical Analysis Seminar, 2014 Some Liouville-type theorems in Lebesgue spaces for several classes of evolution equations are presented. The involved operators are left invariant with respect to Lie group composition laws. Results for both solutions and sub-solutions are given.
Alessia E. Kogoj
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Liouville theorems for the Navier–Stokes equations and applications [PDF]
, 2007 We study bounded ancient solutions of the Navier–Stokes equations. These are solutions with bounded velocity defined in Rn × (−1, 0). In two space dimensions we prove that such solutions are either constant or of the form u(x, t) = b(t), depending on the
G. Koch +3 more
semanticscholar +1 more source
New variants of fuzzy optimal control problems
Asian Journal of Control, Volume 28, Issue 1, Page 116-123, January 2026.Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus +3 more
wiley +1 more source
Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley +1 more source
Oscillation theorems for nonlinear fractional difference equations
Boundary Value Problems, 2018 In this study, we discuss some theorems related to the oscillatory behavior of nonlinear fractional difference equations equipped with well-known fractional Riemann–Liouville difference operator.
Hakan Adiguzel
doaj +1 more source