Results 21 to 30 of about 45 (44)

Doubly Critical Problems Involving Fractional Laplacians in ℝN

Advanced Nonlinear Studies, 2017
In this paper, we show the existence of nontrivial solutions for doubly critical nonlocal elliptic problems in ℝN{\mathbb{R}^{N}} involving fractional Laplacians.
Yang Jianfu, Wu Fengjie
doaj   +1 more source

Matrices de Toeplitz pour l'étude du Laplacien fractionnaire sur un intervalle borné

, 2021
Toeplitz matrices for the study of the fractional Laplacian on a bounded interval. In this work we get a deep link between (−∆) α ]0,1[ the fractional Laplacian on the interval ]0, 1[ and T N (ϕ α) the Toeplitz matrices of symbol ϕ α : θ → |1 − e iθ | 2α
Seghier, Abdellatif, Rambour, Philippe
core  

Radial symmetry, monotonicity and Liouville theorem for Marchaud fractional parabolic equations with the nonlocal Bellman operator

Advanced Nonlinear Studies
In this article, we focus on studying space-time fractional parabolic equations with the nonlocal Bellman operator and the Marchaud fractional derivative. To address the difficulty caused by the space-time non-locality of operator ∂tα−Fs ${\partial }_{t}^
Liu Mengru, Zhang Lihong, Wang Guotao
doaj   +1 more source

Heat Kernels and Green Functions of Some Pseudo-Differential Operators in Relativistic Quantum Mechanics [PDF]

, 2015
2010 Mathematics Subject Classification: Primary: 47G30 ...
Wong, M. W., Guo, Qiang
core  

Qualitative properties of solutions for dual fractional parabolic equations involving nonlocal Monge-Ampère operator

Advances in Nonlinear Analysis
In this article, we mainly study the qualitative properties of solutions for dual fractional-order parabolic equations with nonlocal Monge-Ampère operators in different domains ∂tβμ(y,t)−Dατμ(y,t)=f(μ(y,t)).{\partial }_{t}^{\beta }\mu \left(y,t)-{D}_ ...
Yang Zerong, He Yong
doaj   +1 more source

SG-pseudo-differential operators and weak hyperbolicity [PDF]

, 2003
2002 Mathematics Subject Classification: 35S05, 47G30, 58J42.We consider a class of pseudo-differential operators globally defined in R^n. For them we discuss trace functionals, distribution of eigenvalues, essential spectrum and weak hyperbolicity.*The ...
Nicola, Fabio, Rodino, Luigi, RODINO LUIGI   +2 more
core  

On Multi-Dimensional Random Walk Models Approximating Symmetric Space-Fractional Diffusion Processes [PDF]

, 2005
Mathematics Subject Classification: 26A33, 47B06, 47G30, 60G50, 60G52, 60G60.In this paper the multi-dimensional analog of the Gillis-Weiss random walk model is studied.
Gorenflo, Rudolf, Umarov, Sabir
core  

Pseudodifferential operators and their commutators on Morrey type spaces

Demonstratio Mathematica
This paper discusses the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions, and sets up the sufficient condition such that these operators are bounded on classical Morrey spaces and generalized Morrey ...
Deng Yu-Long
doaj   +1 more source

Non-existence, radial symmetry, monotonicity, and Liouville theorem of master equations with fractional p-Laplacian

Advances in Nonlinear Analysis
In this article, first, we introduce a new operator (∂t−Δp)su(z,t)=Cn,sp∫−∞t∫Rn∣u(z,t)−u(ζ,ϱ)∣p−2(u(z,t)−u(ζ,ϱ))(t−ϱ)n2+1+sp2e−∣z−ζ∣24(t−ϱ)dζdϱ,{\left({\partial }_{t}-{\Delta }_{p})}^{s}u\left(z,t)={C}_{n,sp}\underset{-\infty }{\overset{t}{\int }}\mathop{
Liu Mengru, Zhang Lihong
doaj   +1 more source

Pseudo-fractional differential equations and generalized g-Laplace transform. [PDF]

J Pseudodiffer Oper Appl, 2021
Sousa JVDC, Camargo RF, de Oliveira EC, Frederico GSF.   +3 more
europepmc   +1 more source