Results 11 to 20 of about 9,965 (190)
Traveling Wave Solutions to the Free Boundary Incompressible Navier‐Stokes Equations
Communications on Pure and Applied Mathematics, Volume 76, Issue 10, Page 2474-2576, October 2023., 2023 Abstract In this paper we study a finite‐depth layer of viscous incompressible fluid in dimension n≥2, modeled by the Navier‐Stokes equations. The fluid is assumed to be bounded below by a flat rigid surface and above by a free, moving interface. A uniform gravitational field acts perpendicularly to the flat surface, and we consider the cases with and ...
Giovanni Leoni, Ian Tice
wiley +1 more source
Pseudodifferential operators on α-modulation spaces
Journal of Function Spaces and Applications, 2004 We study expansions of pseudodifferential operators from the Hörmander class in a special family of functions called brushlets. We prove that such operators have a sparse representation in a brushlet system.
Lasse Borup
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Cauchy Problems for Evolutionary Pseudodifferential Equations over p-Adic Field
Abstract and Applied Analysis, 2014 We study a class of evolutionary pseudodifferential equations of the second order in t, (∂2u(t,x)/∂t2+2a2Tα/2(∂u(t,x)/∂t)+b2Tαu(t,x)+c2u(t,x)=q(t,x)), where t∈(0,z] and Tα is pseudodifferential operator in x∈Qp, which defined by Weiyi Su in 1992.
Bo Wu, Yin Li, Weiyi Su
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Pseudodifferential operators on $L^p$, Wiener amalgam and modulation spaces [PDF]
, 2009 We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces $M^{p,q}$, acting on a given Lebesgue space $L^r$.
Cordero, Elena, Nicola, Fabio
core +3 more sources
p-Adic Fractional Pseudodifferential Equations and Sobolev Type Spaces over p-Adic Fields
Discrete Dynamics in Nature and Society, 2013 In this paper, we study the solutions of the pseudodifferential equations of type Dα u=v over p-adic field ℚp, where Dα is a p-adic fractional pseudodifferential operator.
Bo Wu
doaj +1 more source
Complex eigenvalues in Kuryshkin-Wodkiewicz quantum mechanics
Discrete and Continuous Models and Applied Computational Science, 2022 One of the possible versions of quantum mechanics, known as Kuryshkin-Wodkiewicz quantum mechanics, is considered. In this version, the quantum distribution function is positive, but, as a retribution for this, the von Neumann quantization rule is ...
Alexander V. Zorin +2 more
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Banach algebras of pseudodifferential operators and their almost diagonalization [PDF]
, 2007 We define new symbol classes for pseudodifferntial operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras.
Gröchenig, Karlheinz +1 more
core +3 more sources
On One Evolution Equation of Parabolic Type with Fractional Differentiation Operator in S Spaces
International Journal of Differential Equations, 2020 In the paper, we investigate a nonlocal multipoint by a time problem for the evolution equation with the operator A=I−Δω/2, Δ=d2/dx2, and ω∈1;−2 is a fixed parameter. The operator A is treated as a pseudodifferential operator in a certain space of type S.
V. V. Gorodetskiy +2 more
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Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a pseudodifferential equation of parabolic type with a fractional power of the Laplace operator of order $\alpha\in(0;1)$ acting with respect to the spatial variable.
V.A. Litovchenko
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Some algebraic properties of differential operators
, 2012 First, we study the subskewfield of rational pseudodifferential operators over a differential field K generated in the skewfield of pseudodifferential operators over K by the subalgebra of all differential operators. Second, we show that the Dieudonne'
Alberto De Sole +7 more
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