A new regularization method for an inverse source problem for a parabolic equation in a Banach space is proposed. Hölder-type error estimates for the regularized solutions are proved for both a priori and a posteriori regularization parameter choice rules. Some numerical examples are presented for illustrating the efficiency of the method.

中文翻译：

---

识别 Banach 空间中抛物线方程的未知源项

针对Banach空间中抛物方程的逆源问题提出了一种新的正则化方法。对于先验和后验正则化参数选择规则，证明了正则化解的 Hölder 型误差估计。给出了一些数值例子来说明该方法的效率。