The global and local c2 solutions for the wave equation □u = G ( ut, Du ) in three space dimensions [ J ]. Acta M ath Sci, 2000, 20B (1) : 4952503.THE GLOBAL AND LOCAL C~2-SOLUTIONS FOR THE WAVE EQUATION □u = G(u_t, Du) IN THREE SPACE DIMENSIONS[J]. 赖绍永.Acta ...
In this article we construct the fundamental solutions for the wave equation arising in the de Sitter model of the universe. We use the fundamental solutions to represent solutions of the Cauchy problem and to prove the Lp Lq-decay estimates for the solutions of the equation with and without ...
aI think I malicious suitable for pain, but take a serious who sing. 我认为I恶意适当为痛苦,但采取严肃谁唱歌。 [translate] a我打算照一些相片 I plan according to some photographs [translate] a现在都不一样了 Now all is dissimilar [translate] aOur numerical solutions of the wave equation 我们...
Blow-up of solutions for a wave equation with nonlinear averaged damping and nonlocal nonlinear source terms Qingying Hu, Donghao Li, Shuo Liu & Hongwei Zhang Pages 695-710 | Received 05 Jul 2019, Published online: 30 Mar 2022 Cite this article https://doi.org/10.2989/16073606.2022.203997...
We consider the energy-critical wave maps equationin the equivariant case, with equivariance degreek≥2. It is known that initial data of energy<8πkand topological degree zero leads to global solutions that scatter in both time directions. We consider the threshold case of energy. We prove th...
Wave equationL-1 estimatesAsymptotic behavior of solutionsCritical exponentGlobal existence of small data solutionsIt is well known that, for space dimension \\(n> 3\\), one cannot generally expect \\(L^1\\)–\\(L^p\\) estimates for the solution of $$\\begin{aligned} u_{tt}-\\var...
Joseph—Egri equationbifurcationtraveling wavedynamical systemelliptic integraltraveling wave solutionThe bifurcation method of dynamical system is applied to study traveling waves of the Joseph—Egri equation. The phase space geometry of traveling wave system of the Joseph—Egri equation is investigated in...
Bifurcation of Solitary Wave and Periodic Wave Solutions for BBM Equation Using the method of planar dynamical systems to study Benjiamin-Bona-Mahony equation, the existence of smooth solitary wave and periodic wave solutions are... L Yao,YL Yang - 《》 被引量: 0发表: 2004年来源...
(1.7) is discontinuous whenu=0. In other words, on the above straight line of the phase(u,y),u″has no definition. It implies that (1.5) has non-smooth traveling wave solutions. We claim that the existence of a singular line for a traveling wave equation is the original reason why ...
This work specifically aims to provide accurate optical soliton wave solutions for fractional-order Kundu–Eckhaus equation (FKEe). In order to achieve this, we utilize the Riccati–Bernoulli sub-ODE technique. By using this method in combination with Backlund transformation, we obtain precise solution...