一类非线性抛物型方程反系数问题拟解的存在性

An Inverse Coefficient Problems for Nonlinear Parabolic Differential Equations

研究了一类非线性抛物型方程反系数问题,证明了正问题的解对系数的连续依赖性,在合适的容许集中得到了反系数问题拟解的存在性.

This paper is devoted to a class of inverse problems for a nonlinear parabolic differential equation.It is proved that the convergence of solutions for the corresponding direct problems continuously depends on the coefficient convergence.Based on this result the existence of a quasisolution of the inverse problem is obtained in the appropriate class of admissible coefficients.