偏微分方程  

出　　处：《中国学术期刊文摘》2008年第13期17-18,共2页Chinese Science Abstracts(Chinese Edition)

摘　　要：一类以测度为初值的拟线性双曲方程组BV解的存在性;带可变密度和吸收项的退化扩散方程解的局部性和渐近行为;一类含参数半正四阶边值问题的正解存在性与多解性;泛函极小与非线性椭圆方程解的局部正则性;Existence of BV solutions for a class of systems of quasilinear hyperbolic equations with measures as initial conditions;Localization and asymptotic behavior of solutions to degenerate parabolic equations with variable density and absorption ;Positive solutions to a class of semipositive fourth-order boundary value problems with parameters ;Local regularity results for minima of functionals and solutions of nonlinear elliptic equations;Blow- up for degenerate parabolic equation with nonlocal source and absorption

关 键 词：偏微分方程 拟线性双曲方程组 退化奇异抛物方程 非线性椭圆方程 退化扩散方程 四阶边值问题 解的存在性 正解存在性 

分 类 号：O175.2[理学—数学] O175.27[理学—基础数学]