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pro vyhledávání: '"Takamatsu, Shu"'
Autor:
Takamatsu, Shu
We focus on the general theory to the Cauchy problem for one dimensional nonlinear wave equations with small initial data. In the general theory, we aim to obtain the lower bound estimate of the lifespan of classical solution. In this paper, we impro
Externí odkaz:
http://arxiv.org/abs/2308.02174
Publikováno v:
AIMS Mathematics, 8(11), 2023, 25477-25486
This paper is devoted to the lifespan estimates of small classical solutions of the initial value problems for one dimensional wave equations with semilinear terms of the spatial derivative of the unknown function. It is natural that the result is sa
Externí odkaz:
http://arxiv.org/abs/2306.07070
Publikováno v:
Journal of Differential Equations, Volume 403, 15 September 2024, Pages 576-618
We are interested in the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Recently, the first result with the same formulation as in the higher dimensional case has been obtai
Externí odkaz:
http://arxiv.org/abs/2305.00180
Publikováno v:
In Journal of Differential Equations 15 September 2024 403:576-618
