Regularized Wavelet Solutions for Ill-posed Nonhomogeneous Parabolic Equations
Jin-ru Wang, Yuan Zhou · 2012
We consider the nonhomogeneous problem uxx(x, t) = ut(x, t) + f(x, t), 0 ≤ xj. We shall also show that under certain conditions this regularized solution is convergent to the exact solution. In the previous papers, most of the theoretical results concerning the error estimate are about the homogeneous equation, i.e., f(x, t) ≡ 0.