Results 11 to 20 of about 437 (57)
Multilinear analysis for discrete and periodic pseudo-differential operators in Lp-spaces [PDF]
, 2018 In this note we announce our investigation on the Lp properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators byshowing classical multilinear ...
Cardona Sanchez, Duvan, Kumar, Vishvesh
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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
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A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
, 2009 We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.
Feichtinger H. G. +9 more
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Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
, 2013 In this paper we prove a version of the Gohberg lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators on compact Lie groups.
Dasgupta, Aparajita, Ruzhansky, Michael
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Pseudodifferential operators and their commutators on Morrey type spaces
Demonstratio MathematicaThis 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
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Advanced Nonlinear StudiesIn 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
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, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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Advances in Nonlinear AnalysisIn 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
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Advances in Nonlinear AnalysisIn 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
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