Almost Global Existence of Solutions to the Kadomtsev-Petviashvili Equations
-
- Hayashi Nakao
- Osaka University
-
- Naumkin Pavel I.
- UNAM
-
- Niizato Tomoyuki
- Osaka University
Abstract
We consider the Cauchy problem for the Kadomtsev-Petviashvili equations ut + uxxx + σ∂x–1uyy = –(u2)x, (x, y) ∈ R2, t ∈ R, u(0, x, y) = u0(x, y), (x, y) ∈ R2, where σ = 1 or σ = –1, ∂x–1 = ∫–∞x dx′. We prove that the maximal existence time T is estimated from below as T ≥ exp(C/ε), where ε denotes the size of the initial data, C > 0 is a constant.
Journal
-
- Funkcialaj Ekvacioj
-
Funkcialaj Ekvacioj 55 (1), 157-168, 2012
Division of Functional Equations, The Mathematical Society of Japan
- Tweet
Details 詳細情報について
-
- CRID
- 1390282680089921920
-
- NII Article ID
- 130001905208
-
- ISSN
- 05328721
-
- Text Lang
- en
-
- Data Source
-
- JaLC
- Crossref
- CiNii Articles
-
- Abstract License Flag
- Disallowed