抛物型方程的反系数问题研究 Inverse Coefficient Problems for a Parabolic Equation

摘要

研究了一类抛物型方程的反系数问题，利用变分方法获得了方程弱解的存在性与唯一性，利用Schauder不动点定理得到了反系数问题解的存在性。This paper is devoted to a class of inverse coefficient problems for a Parabolic Equation, We obtain an existence and uniqueness theorem of weak solutions. Using the theories of Schauder Fixed-Point Theorem, an existence theorem is established for the inverse coefficient problems solutions.