We establish Liouville type theorems in the whole space and in a half-space for parabolic problems without scale invariance. To this end, we employ two methods, respectively based on the corresponding elliptic Liouville type theorems and energy estimates
Quittner, Pavol, Souplet, Philippe
core
Liouville\u27s theorems for Lévy operators [PDF]
Let $L$ be a Lévy operator. A function $h$ is said to be harmonic with respect to $L$ if $L h = 0$ in an appropriate sense. We prove Liouville\u27s theorem for positive functions harmonic with respect to a general Lévy operator $L$: such functions are ...
Kwaśnicki, Mateusz, Grzywny, Tomasz
core
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
europepmc +1 more source
Liouville-type theorems for steady solutions of the barotropic Navier--Stokes system
We establish various results concerning the uniqueness of zero velocity solutions for the static barotropic Navier--Stokes system.
Yang, Minsuk +2 more
core
A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative. [PDF]
Vinoth R, Jayalakshmi M.
europepmc +1 more source
Some new results on interval-valued volterra integro-differential equations for caputo fractional derivative. [PDF]
Noureen S, Zehra A, Tolasa FT.
europepmc +1 more source
Analysis of delay differential equations with dual caputo-type fractional derivatives using laplace transform methods. [PDF]
Boumaaza M +4 more
europepmc +1 more source
Mathematical modeling of tumor-immune dynamics: stability, control, and synchronization via fractional calculus and numerical optimization. [PDF]
Aderyani SR +3 more
europepmc +1 more source
$L^p$ Liouville type theorems for harmonic functions on gradient Ricci solitons
In this paper we consider $L^p$ Liouville type theorems for harmonic functions on gradient Ricci solitons. In particular, assume that $(M,g)$ is a gradient shrinking or steady Kähler-Ricci soliton, then we prove that any pluriharmonic function $u$ on $M$
Luo, Yong
core +1 more source
A Caputo fractional-order SEIHRD model for Ebola: theoretical analysis, sensitivity, bifurcation, and numerical simulations. [PDF]
Malathy R, Krishnan GSS, Loganathan K.
europepmc +1 more source

