Existence of Global Solution and Traveling Wave of the Modified Short-Wave Equation
نویسندگان
چکیده
منابع مشابه
existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولExistence of Global Solution of a Nonlinear Wave Equation with Short-range Potential
The existence of a global solution for the Cauchy problem for the nonlinear wave equation (1) (∂tt −∆)u = F (u′, u′′) , t ≥ 0, x ∈ R , is established by S. Klainerman [6] under a suitable algebraic condition called the null condition on the quadratic nonlinearity in F (u′, u′′). The global or “almost global” solution of the corresponding mixed problem has been studied by Y. Shibata and Y. Tsuts...
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Article history: Received 29 July 2008 Received in revised form 19 November 2008 Accepted 21 January 2009 Available online 27 January 2009 Communicated by A.R. Bishop
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ژورنال
عنوان ژورنال: Advances in Mathematical Physics
سال: 2021
ISSN: 1687-9139,1687-9120
DOI: 10.1155/2021/2777265