2 papers
math.NA2025
Conditional Stability and Numerical Reconstruction of a Parabolic Inverse Source Problem Using Carleman Estimates
Tianhao Hu, Xinchi Huang, Bangti Jin +2
In this work we develop a new numerical approach for recovering a spatially dependent source component in a standard parabolic equation from partial interior measurements. We estab…
math.AP2023
Blow-up for time-fractional diffusion equations with superlinear convex semilinear terms
Xinchi Huang, Yikan Liu, Masahiro Yamamoto
This article is concerned with a semilinear time-fractional diffusion equation with a superlinear convex semilinear term in a bounded domain with the homogeneous Dirichlet, Neu…