References
- Kirsch A. An introduction to the mathematical theory of inverse problems. New York: Springer; 2011.
- Wei T, Zhang ZQ. Reconstruction of a time-dependent source term in a time-fractional diffusion equation. Eng Anal Bound Elem. 2013;37:23–31.
- Cheng W, Ma YJ, Fu CL. Identifying an unknown source term in radial heat conduction. Inverse Probl Sci Eng. 2011;20:1–15.
- Geng XX, Cheng H, Liu M. Inverse source problem of heat conduction equation with time-dependent diffusivity on a spherical symmetric domain. Inverse Probl Sci Eng. 2021;29:1653–1668.
- Li PJ, Yuan GH. Increasing stability for the inverse source scattering problem with multi-frequencies. Inverse Probl Imaging. 2017;11:745–759.
- Bao G, Chow SN, Li PJ et al. An inverse random source problem for the Helmholtz equation. Math Comput. 2014;83:215–233.
- Niu PP, Helin T, Zhang ZD. An inverse random source problem in a stochastic fractional diffusion equation. Inverse Probl. 2020;36:045002.
- Feng XL, Zhao MX, Li PJ et al. An inverse source problem for the stochastic wave equation. Inverse Probl Imaging. 2022;16:397–415.
- Feng XL, Li PJ, Wang X. An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion. Inverse Probl. 2020;36:045008.
- Orsingher E. Randomly forced vibrations of a string. Ann Inst Henri Poincaré Probab Stat. 1982;18:367–394.
- Quer-Sardanyons L, Tindel S. The 1D stochastic wave equation driven by a fractional Brownian sheet. Their Applications¡/DIFdel¿Stoch Process Appl. 2007;117:1448–1472.
- Walsh JB. An introduction to stochastic partial differential equations. Lect Notes Math. 1986;1180:265–439.
- Li JZ, Liu HY, Ma SQ. Determining a random Schrödinger operator: both potential and source are random. Commun Math Phys. 2021;381:527–556.
- Bao G, Ehlers TA, Li PJ. Radiogenic source identification for the helium production-diffusion equation. Commun Comput Phys. 2013;14:1–20.
- Zhang YX, Yan L. The general a posteriori truncation method and its application to radiogenic source identification for the Helium production–diffusion equation. Appl Math Model. 2017;43:126–138.
- Li JL, Helin T, Li PJ. Inverse random source problems for time-harmonic acoustic and elastic waves. Commun Partial Differ Equ. 2020;45:1335–1380.
- Wolf RA, Farley KA, Kass DM. Moldeling of the temperature sensitivity of the apatite (U-Th)/He thermochronometer. Chem Geol. 1998;148:105–114.
- Nualart D. The malliavin calculus and related topics, probability and its applications. 2nd ed. Berlin: Springer-Verlag; 2006.