An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type

Avron Douglis

Displaying similar documents to “An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type”

$L^{p}$ -estimates near the boundary for solutions of the Dirichlet problem

E. B. Fabes, N. M. Riviere (1970)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On the theorem of Ivasev-Musatov. II

Thomas-William Korner (1978)

Annales de l'institut Fourier

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As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.

A generalization of a theorem of J. Steinberg

M. David (1967)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Integrability theorems for trigonometric series

Bruce Aubertin, John Fournier (1993)

Studia Mathematica

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We show that, if the coefficients (an) in a series $a_{0} / 2 + \sum_{n = 1}^{\infty} a_{n} c o s (n t)$ tend to 0 as n → ∞ and satisfy the regularity condition that $\sum_{m = 0}^{\infty} {\sum_{j = 1}^{\infty} [\sum_{n = j 2^{m}}^{(j + 1) 2^{m} - 1} | a_{n} - a_{n + 1} |] ²}^{1 / 2} < \infty$ , then the cosine series represents an integrable function on the interval [-π,π]. We also show that, if the coefficients (bn) in a series $\sum_{n = 1}^{\infty} b_{n} s i n (n t)$ tend to 0 and satisfy the corresponding regularity condition, then the sine series represents an integrable function on [-π,π] if and only if $\sum_{n = 1}^{\infty} | b_{n} | / n < \infty$ . These conclusions were previously known to hold under stronger restrictions on the sizes...

On the Picard property of lacunary power series

M. Weiss, G. Weiss (1963)

Studia Mathematica

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Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth

Mario Marino, Antonino Maugeri (1986)

Rendiconti del Seminario Matematico della Università di Padova

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Fluctuations of brownian motion with drift.

Joseph G. Conlon, Peder Olsen (1999)

Publicacions Matemàtiques

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Consider 3-dimensional Brownian motion started on the unit sphere {|x| = 1} with initial density ρ. Let ρt be the first hitting density on the sphere {|x| = t + 1}, t > 0. Then the linear operators T defined by T ρ = ρ form a semigroup with an infinitesimal generator which is approximately the square root of the Laplacian. This paper studies the analogous situation for Brownian motion with a drift , where is small in a suitable scale invariant norm.

Displaying similar documents to “An approximate layering method for multi-dimensional nonlinear parabolic systems of a certain type”

L p -estimates near the boundary for solutions of the Dirichlet problem

On the theorem of Ivasev-Musatov. II

A generalization of a theorem of J. Steinberg

Integrability theorems for trigonometric series

On the Picard property of lacunary power series

Partial Hölder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth

Fluctuations of brownian motion with drift.

$L^{p}$ -estimates near the boundary for solutions of the Dirichlet problem