The Douady-Earle extension of quasihomographies

Ken-Ichi Sakan; Józef Zając

Displaying similar documents to “The Douady-Earle extension of quasihomographies”

A note on linear perturbations of oscillatory second order differential equations

Renato Manfrin (2010)

Archivum Mathematicum

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Under suitable hypotheses on $γ (t)$ , $λ (t)$ , $q (t)$ we prove some stability results which relate the asymptotic behavior of the solutions of $u^{''} + γ (t) u^{'} + (q (t) + λ (t)) u = 0$ to the asymptotic behavior of the solutions of $u^{''} + q (t) u = 0$ .

A note on the Hermite–Rankin constant

Kazuomi Sawatani, Takao Watanabe, Kenji Okuda (2010)

Journal de Théorie des Nombres de Bordeaux

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We generalize Poor and Yuen’s inequality to the Hermite–Rankin constant $γ_{n, k}$ and the Bergé–Martinet constant $γ_{n, k}^{'}$ . Moreover, we determine explicit values of some low- dimensional Hermite–Rankin and Bergé–Martinet constants by applying Rankin’s inequality and some inequalities proven by Bergé and Martinet to explicit values of $γ_{5}^{'}, γ_{7}^{'}$ , $γ_{4, 2}$ and $γ_{n}$ ( $n ≦ 8$ ).

On a theorem of Mestre and Schoof

John E. Cremona, Andrew V. Sutherland (2010)

Journal de Théorie des Nombres de Bordeaux

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A well known theorem of Mestre and Schoof implies that the order of an elliptic curve $E$ over a prime field $𝔽_{q}$ can be uniquely determined by computing the orders of a few points on $E$ and its quadratic twist, provided that $q > 229$ . We extend this result to all finite fields with $q > 49$ , and all prime fields with $q > 29$ .

Bifurcation of an invariant torus of a system of differential equations in the degenerate case.

Usachev, Yu.V. (2001)

Sibirskij Matematicheskij Zhurnal

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On wild ramification in quaternion extensions

G. Griffith Elder, Jeffrey J. Hooper (2007)

Journal de Théorie des Nombres de Bordeaux

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This paper provides a complete catalog of the break numbers that occur in the ramification filtration of fully and thus wildly ramified quaternion extensions of dyadic number fields which contain $\sqrt{- 1}$ (along with some partial results for the more general case). This catalog depends upon the , which as defined in [] is associated with the biquadratic subfield. Moreover we find that quaternion counter-examples to the conclusion of the Hasse-Arf Theorem are extremely rare and can occur only...

Existence and construction of anisotropic solutions to the multidimensional equation of nonlinear diffusion. II.

Rudykh, G.A., Semenev, Eh.I. (2001)

Siberian Mathematical Journal

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Solution of Cubic and Quartic Equations

Marco Riccardi (2009)

Formalized Mathematics

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In this article, the principal n-th root of a complex number is defined, the Vieta's formulas for polynomial equations of degree 2, 3 and 4 are formalized. The solution of quadratic equations, the Cardan's solution of cubic equations and the Descartes-Euler solution of quartic equations in terms of their complex coefficients are also presented [5].