T. Nishitani

activity

20112022

most citedWeakly Hyperbolic Systems by Symmetrization

1 citations · 2 across the 16 of their papers we have counts for

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3 papers · 1 filter

math.AP2017

On the Cauchy problem for $D_{t}^{2} - D_{x} (b (t) a (x)) D_{x}$

Ferruccio Colombini, Tatsuo Nishitani

We consider the Cauchy problem for second order differential operators with two independent variables $P = D_{t}^{2} - D_{x} (b (t) a (x)) D_{x}$ . Assume that $b (t)$ is a nonnegative $C^{n, a l p ha}$ …

math.AP2017

Cauchy problem for effectively hyperbolic operators with triple characteristics

Tatsuo Nishitani, Vesselin Petkov

We study the Cauchy problem for effectively hyperbolic operators $P$ with principal symbol $p (t, x, τ, ξ)$ having triple characteristics on $t = 0$ . Under a condition (E) we show tha…

math.AP2017

Transversally strictly hyperbolic systems

Tatsuo Nishitani

We consider the Cauchy problem for first order systems. Assuming that the set of the singular points of the characteristic variety is a smooth manifold and the characteristic value…

On the Cauchy problem for Dt2​−Dx​(b(t)a(x))Dx​

Cauchy problem for effectively hyperbolic operators with triple characteristics

Transversally strictly hyperbolic systems

On the Cauchy problem for $D_{t}^{2} - D_{x} (b (t) a (x)) D_{x}$