Correction: Zhang, H.; Zhang, X. Generalized Tikhonov Method and Convergence Estimate for the Cauchy Problem of Modified Helmholtz Equation with Nonhomogeneous Dirichlet and Neumann Datum. Mathematics 2019, 7, 667

The authors wish to make the following corrections to this paper [1]:

1. In the original paper, the value of the parameter $\gamma$ is greater than 0. Throughout the article, the value of the parameter $\gamma$ should be $\gamma \ge 1$.

2. For the definition of function $H_2(n)$ in (23), the original expression is

$$H_2(n)=\frac{e^{-(2T-y)\sqrt{n^2+k^2}}}{\sqrt{K}\left(\frac{\beta {(n^2+k^2)}^{\gamma }}{K}{\left(\frac{1-e^{-2\sqrt{K}T}}{2}\right)}^2+e^{-2T\sqrt{n^2+k^2}}\right)}.$$

We would like to make the following corrections:

$$H_2(n)=\frac{e^{-(2T-y)\sqrt{n^2+k^2}}}{\sqrt{K}\left(\beta {(n^2+k^2)}^{\gamma -1}{\left(\frac{1-e^{-2\sqrt{K}T}}{2}\right)}^2+e^{-2T\sqrt{n^2+k^2}}\right)}.$$

3. In the proof of Theorem 4, the original value of $\nu$ is $\nu =\frac{\beta {(n^2+k^2)}^{\gamma }}{K}{\left(\frac{1-e^{-2\sqrt{K}T}}{2}\right)}^2.$ It is corrected as:

$$\nu =\beta {(n^2+k^2)}^{\gamma -1}{\left(\frac{1-e^{-2\sqrt{K}T}}{2}\right)}^2.$$

4. The original mathematical expression

$$\frac{e^{-(2T-y)\sqrt{n^2+k^2}}}{\sqrt{K}\left(\frac{\beta {(n^2+k^2)}^{\gamma }}{K}{\left(\frac{1-e^{-2\sqrt{K}T}}{2}\right)}^2+e^{-2T\sqrt{n^2+k^2}}\right)}$$

in line three of (49), and line six of (50) is inappropriate.

They should both be:

$$\frac{e^{-(2T-y)\sqrt{n^2+k^2}}}{\sqrt{K}\left(\beta {(n^2+k^2)}^{\gamma -1}{\left(\frac{1-e^{-2\sqrt{K}T}}{2}\right)}^2+e^{-2T\sqrt{n^2+k^2}}\right)}.$$

The authors would like to apologize for any inconvenience caused to the readers by these changes.