Quenching time of some nonlinear wave equations

Firmin K. N’gohisse; Théodore K. Boni

Displaying similar documents to “Quenching time of some nonlinear wave equations”

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 $γ_{n}$ ( $n ≦ 8$ ).

Weber’s class number problem in the cyclotomic $ℤ_{2}$ -extension of $ℚ$ , II

Takashi Fukuda, Keiichi Komatsu (2010)

Journal de Théorie des Nombres de Bordeaux

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Let $h_{n}$ denote the class number of $n$ -th layer of the cyclotomic $ℤ_{2}$ -extension of $ℚ$ . Weber proved that $h_{n} (n \geq 1)$ is odd and Horie proved that $h_{n} (n \geq 1)$ is not divisible by a prime number $ℓ$ satisfying $ℓ \equiv 3, 5 (mod 8)$ . In a previous paper, the authors showed that $h_{n} (n \geq 1)$ is not divisible by a prime number $ℓ$ less than $10^{7}$ . In this paper, by investigating properties of a special unit more precisely, we show that $h_{n} (n \geq 1)$ is not divisible by a prime number $ℓ$ less than $1.2 \cdot 10^{8}$ . Our argument also leads to the conclusion that $h_{n} (n \geq 1)$ is not divisible by...

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 $u^{''} + q (t) u = 0$ .

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 $q > 29$ .

Displaying similar documents to “Quenching time of some nonlinear wave equations”

A note on the Hermite–Rankin constant

Weber’s class number problem in the cyclotomic ℤ 2 -extension of ℚ , II

A note on linear perturbations of oscillatory second order differential equations

On a theorem of Mestre and Schoof

Weber’s class number problem in the cyclotomic $ℤ_{2}$ -extension of $ℚ$ , II