Results 21 to 30 of about 47 (44)

Global solutions of semilinear heat equations in Hilbert spaces

Abstract and Applied Analysis, Volume 1, Issue 3, Page 263-276, 1996., 1996
The existence, uniqueness, regularity and asymptotic behavior of global solutions of semilinear heat equations in Hilbert spaces are studied by developing new results in the theory of one‐parameter strongly continuous semigroups of bounded linear operators.
G. Mihai Iancu, M. W. Wong
wiley   +1 more source

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

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

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  

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

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

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

Uniform Asymptotic Expansion Of The Square-Root Helmholtz Operator And The One-Way Wave Propagator

, 2003
The Bremmer coupling series solution ofthe wave equation, in generally inhomogeneous media, requires the introduction ofpseudodi#erential operators. Such operators appear in the diagonalization process ofthe acoustic system's matrix ofpartial di ...
A. K. Gautesen, Maarten V. De Hoop
core