Results 41 to 50 of about 3,540 (98)
On the instability for the cubic nonlinear Schrodinger equation
, 2007 We study the flow map associated to the cubic Schrodinger equation in space dimension at least three.
Burq +5 more
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Notes on continuity result for conformable diffusion equation on the sphere: The linear case
Demonstratio Mathematica, 2022 In this article, we are interested in the linear conformable diffusion equation on the sphere. Our main goal is to establish some results on the continuity problem with respect to fractional order.
Nguyen Van Tien
doaj +1 more source
A Note on Div-Curl Lemma [PDF]
, 2007 2000 Mathematics Subject Classification: 42B30, 46E35, 35B65.We prove two results concerning the div-curl lemma without assuming any sort of exact cancellation, namely the divergence and curl need not be zero, and $$div(u^−v^→) ∈ H^1(R^d)$$ which include
Gala, Sadek
core
Sobolev-Kantorovich Inequalities
Analysis and Geometry in Metric Spaces, 2015 In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich ...
Ledoux Michel
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Optimality of Serrin type extension criteria to the Navier-Stokes equations
Advances in Nonlinear Analysis, 2021 We prove that a strong solution u to the Navier-Stokes equations on (0, T) can be extended if either u ∈ Lθ(0, T; U˙∞,1/θ,∞−α$\begin{array}{} \displaystyle \dot{U}^{-\alpha}_{\infty,1/\theta,\infty} \end{array}$) for 2/θ + α = 1, 0 < α < 1 or u ∈ L2(0, T;
Farwig Reinhard, Kanamaru Ryo
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A Serrin-type regularity criterion for the Navier-Stokes equations via one velocity component [PDF]
Commu. Pure Appl. Anal., 12 (2013), 117--124, 2011 We study the Cauchy problem for the 3D Navier-Stokes equations, and prove some scalaring-invariant regularity criteria involving only one velocity component.
arxiv +1 more source
On the Holomorphic Extension of Solutions of Elliptic Pseudodifferential Equations [PDF]
, 2012 2010 Mathematics Subject Classification: 35B65, 35S05, 35A20.We derive analytic estimates and holomorphic extensions for the solutions of a class of elliptic pseudodifferential equations on ...
Cappiello, Marco, Nicola, Fabio
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Regularity of a degenerate parabolic equation appearing in Vecer's unified pricing of Asian options
, 2015 Vecer derived a degenerate parabolic equation with a boundary condition characterizing the price of Asian options with generally sampled average. It is well understood that there exists a unique probabilistic solution to such a problem but it remained ...
Dong, Hongjie, Kim, Seick
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A note on the shift theorem for the Laplacian in polygonal domains (extended version) [PDF]
Applications of Mathematics, vol 69 (2024), pp 653-693We present a shift theorem for solutions of the Poisson equation in a finite planar cone (and hence also on plane polygons) for Dirichlet, Neumann, and mixed boundary conditions. The range in which the shift theorem holds depends on the angle of the cone.
arxiv +1 more source
Transference of fractional Laplacian regularity
, 2014 In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $\mathbb{T}^n$ from the fractional Laplacian on $\mathbb{R}^n$.
J.E. Galé +4 more
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