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本文考虑双重退化抛物型方程带有零边界条件的初边值问题的整体解存在性,唯一性和解在模估计.证明了当时,整体解满足估计这里为依赖于m,q,N和r的适当正常数. 相似文献
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在这篇文章中,作者利用比较原理,证明了一类二阶拟线性退化抛物型方程组初边值问题的非负整体解的存在性,并研究了解的渐近性态. 相似文献
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In this paper, we consider the Liouville-type theorem for stable solutions of the following Kirchhoff equation ■,where M(t) = a + bt~θ, a 0, b, θ≥ 0, θ = 0 if and only if b = 0. N ≥ 2, q 0 and the nonnegative function g(x) ∈ L_(loc)~1(R~N). Under suitable conditions on g(x), θ and q, we investigate the nonexistence of positive stable solution for this problem. 相似文献
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本文把半群理论与能量方法结合起来,证明了一类强藕合非线性抛物型方程组的初边值问题解的整体存在性,并给出了解的W(2,p)全局估计. 相似文献
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This paper applies an extended auxiliary equation method to obtain exact solutions of the KdV equation with variable coefficients. As a result, solitary wave solutions, trigonometric function solutions, rational function solutions, Jacobi elliptic doubly periodic wave solutions, and nonsymmetrical kink solution are obtained. It is shown that the extended auxiliary equation method, with the help of a computer symbolic computation system, is reliable and effective in finding exact solutions of variable coefficient nonlinear evolution equations in mathematical physics. 相似文献
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文考虑双重退化抛物型方程ut=div(|u|r|u|m--2u)+A(u)带有零边界条件的初边值问题的整体解存在性,唯一性和解在t=0,∞处的L∞模估计.证明了当u0∈Lq(Ω)时,整体解u(t)满足估计‖u(t)‖∞≤C(1+t-λβ)(1+t)-β/M,‖(u(t)|r/(m-1)u(t))‖m≤C(1+t-μ)(1+t)-σ,t>0,这里λ,μ,σ,M,β为依赖于m,q,N和r的适当正常数. 相似文献
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