标题:
抛物型方程的反系数问题研究Inverse Coefficient Problems for a Parabolic Equation
作者:
肖翠娥, 许友军
关键字:
抛物型方程, 反系数问题, 弱解, 存在性, 唯一性Parabolic Equation; Inverse Coefficient Problems; Weak Solution; Existence; Uniqueness
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-08-09
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.