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。
Abstract: 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.
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