Results 21 to 30 of about 1,945 (99)
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in ℝⁿ [PDF]
, 2016 We obtain a characterization of ${\mathcal S}^{\{M_p\}}_{\{M_p\}}(\mathbb{R}^n)$ and $\mathcal {S}^{(M_p)}_{(M_p)}(\mathbb{R}^n)$, the general Gelfand-Shilov spaces of ultradifferentiable functions of Roumieu and Beurling type, in terms of decay ...
Vindas Diaz, Jasson, Vuckovic, Dorde
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Weakly hyperbolic equations with time degeneracy in Sobolev spaces
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 239-256, 1997., 1997 The theory of nonlinear weakly hyperbolic equations was developed during the last decade in an astonishing way. Today we have a good overview about assumptions which guarantee local well posedness in spaces of smooth functions (C∞, Gevrey). But the situation is completely unclear in the case of Sobolev spaces.
Michael Reissig
wiley +1 more source
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
doaj +1 more source
Well‐posedness and regularity results for a dynamic Von Kármán plate
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 2, Page 237-244, 1995., 1994 We consider the problem of well‐posedness and regularity of solutions for a dynamic von Kármán plate which is clamped along one portion of the boundary and which experiences boundary damping through free edge conditions on the remainder of the boundary.
M. E. Bradley
wiley +1 more source
Remarks on the existence and decay of the nonlinear beam equation
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 409-412, 1994., 1993 We will consider a class of nonlinear beam equation and we will prove the existence and decay weak ...
Jaime E. Mũnoz Rivera
wiley +1 more source
Regularity and Bernstein-type results for nonlocal minimal surfaces [PDF]
, 2013 We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi stating that the validity of Bernstein's theorem in dimension $n+1$ is a consequence of the ...
Figalli, Alessio, Valdinoci, Enrico
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Biharmonic eigen‐value problems and Lp estimates
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 469-480, 1990., 1989 Biharmonic eigen‐values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp‐estimates for the solutions of certain biharmonic boundary value problems which are related to the first eigen‐values of the associated biharmonic operators. The
Chaitan P. Gupta, Ying C. Kwong
wiley +1 more source
A Short Proof of H\"older Continuity for Functions in DeGiorgi Classes
, 2017 The goal of this note is to give an alternative proof of local H\"older continuity for functions in DeGiorgi classes based on an idea of Moser.Comment: 5 ...
Klaus, Colin, Liao, Naian
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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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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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