【摘要】 证明了一类带非经典热方程的单相Stefan问题局部解的存在唯一性.首先利用Green恒等式将问题转化为等价的积分方程组,再由压缩映照原理得到了问题的局部解.最后,证明了解对初值的稳定性.更多还原

【Abstract】 Existence and uniqueness of local solution for a one-phase Stefan problem with non-classical heat equation are proved.Firstly,by translatting the Stefan problem into an equivalent system of integral equations with the Green Identity,we obtain the existence and uniqueness of local solutions to the integral equations by contraction mapping theorem.Finally,the stability of the solution about initial value is given.更多还原