一类具有非线性边界源的拟线性抛物方程解的整体存在性与爆破
일류구유비선성변계원적의선성포물방정해적정체존재성여폭파
Global existence and blow-up for the quasi-linear parabolic equation with nonlinear boundary condition
  • 万方数据
    四川大学学报（自然科学版） 사천대학학보（자연과학판）
    JOURNAL OF SICHUAN UNIVERSITY（NATURAL SCIENCE EDITION）
    2011年 4期 738-744 ,共7页

    米永生%穆春来

    미영생%목춘래

    Fujita临界曲线%拟线性抛物方程%爆破 Fujita臨界麯線%擬線性拋物方程%爆破
    Fujita림계곡선%의선성포물방정%폭파
    critical Fujita curve%quasi-linear parabolic equation%blow-up
    作者研究了一类具有非线性边界项的拟线性抛物方程的半无界问题解的整体存在性和爆破问题.通过构造自相似上下解并利用比较原理,作者得到了它的Fujita临界曲线.
    작자연구료일류구유비선성변계항적의선성포물방정적반무계문제해적정체존재성화폭파문제.통과구조자상사상하해병이용비교원리,작자득도료타적Fujita림계곡선.
    This paper is concerned with the global existence and nonexistence of solution to the quasi-linear parabolic equation with nonlinear boundary condition.The critical Fujita curve is obtained by constructing self-similar supersolutions and subsolutions and using the comparison principle.
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