非线性热传导方程的渐近理论

The Asymptotic Theory for Nonlinear Heat Equations

本文采用整体迭代法,研究非线性热传导方程Cauahy问题的渐近理论,在Sobolev空间中,空间维数n 1时,证明了初值问题的适定性和形式近似解的合理性。

By using the global interative technique,the author studies the asymptotic theory of Cauchy's problems for nonlinear heat equations.In a suilable sobolev space,with space dimension n1,the wellposedness of the initial value problems and validity of formal approximations are demonstrated.