Results 21 to 30 of about 1,841 (47)
On a result by Boccardo-Ferone-Fusco-Orsina
, 2011 Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non ...
Squassina, Marco
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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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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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, 2014 We give an example of a well posed, finite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce finite time singularities. In spite of its simplicity, this seems to
Chae, Dongho +2 more
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Analyticity of dissipative-dispersive systems in higher dimensions
, 2018 We investigate the analyticity of the attractors of a class of Kuramoto-Sivashinsky type pseudo-differential equations in higher dimensions, which are periodic in all spatial variables and possess a universal attractor.
Evripidou, Charalampos +1 more
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An example of a mean-convex mean curvature flow developing infinitely many singular epochs
, 2015 In this paper, we give an example of a compact mean-convex hypersurface with a single singular point moved by mean curvature having a sequence of singular epochs (times) converging to zero.Comment: 7 pages, 3 ...
Miura, Tatsuya
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Fractional differentiability for solutions of the inhomogenous $p$-Laplace system
, 2017 It is shown that if $p \ge 3$ and $u \in W^{1,p}(\Omega,\mathbb{R}^N)$ solves the inhomogenous $p$-Laplace system \[ \operatorname{div} (|\nabla u|^{p-2} \nabla u) = f, \qquad f \in W^{1,p'}(\Omega,\mathbb{R}^N), \] then locally the gradient $\nabla u ...
Miśkiewicz, Michał
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Oscillating waves and optimal smoothing effect for one-dimensional nonlinear scalar conservation laws [PDF]
, 2012 Lions, Perthame, Tadmor conjectured in 1994 an optimal smoothing effect for entropy solutions of nonlinear scalar conservations laws . In this short paper we will restrict our attention to the simpler one-dimensional case.
Castelli, Pierre, Junca, Stéphane
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Nonlinear elliptic equations with high order singularities [PDF]
, 2016 We study non-variational degenerate elliptic equations with high order singular structures. No boundary data are imposed and singularities occur along an {\it a priori} unknown interior region. We prove that positive solutions have a universal modulus of
Teixeira, Eduardo V.
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Boundary regularity of an isotropically censored nonlocal operator. [PDF]
Calc Var Partial Differ Equ, 2023 Chan H.
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