热传导反问题中非线性热源的存在性

Existence of the Nonlinear Heat Source in an Inverse Problem Arising from Heat Conduction Phenomena

研究热传导方程在一类非局部时间的边界条件下非线性热源的反演问题．文中应用Sobolev紧性方法证明了热源在Holder空间中的（关于时间的）局部存在性．

This paper studies the inversion of the nonlinear heat source for heat conduction equation with a class of nonlocal boundary for time. Applying Sobolev compact methods,we've proved the existence of the heat source in Holder space.