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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math.AP2022

A question on the Cauchy problem in the Gevrey classes for weakly hyperbolic equations

Tatsuo Nishitani

For a homogeneous polynomial $p$ in $ξ \in R^{n}$ with Gevrey coefficients, it is known that the Cauchy problem for any realization of $p$ is well-posed in the Gevrey class of o…

math.AP2022

A note on time functions associated with effectively hyperbolic double characteristics

Tatsuo Nishitani

Geometrical aspects of effectively hyperbolic singular points over $t = 0$ are discussed assuming that the characteristic roots are real only on the one side $t \geq 0$ . In particular…

math.AP2022

A note on the Cauchy problem for $- D_{0}^{2} + 2 x_{1} D_{0} D_{2} + D_{1}^{2} + x_{1}^{3} D_{2}^{2} + \sum_{j = 0}^{2} b_{j} D_{j}$

Tatsuo Nishitani

In this note, we improve a previously proven non-solvability result of the Cauchy problem for the Cauchy problem in the Gevrey class for a homogeneous second-order differential ope…

A question on the Cauchy problem in the Gevrey classes for weakly hyperbolic equations

A note on time functions associated with effectively hyperbolic double characteristics

A note on the Cauchy problem for −D02​+2x1​D0​D2​+D12​+x13​D22​+∑j=02​bj​Dj​

A note on the Cauchy problem for $- D_{0}^{2} + 2 x_{1} D_{0} D_{2} + D_{1}^{2} + x_{1}^{3} D_{2}^{2} + \sum_{j = 0}^{2} b_{j} D_{j}$