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math.AP2025
Uniqueness of solutions to an elliptic inequality with rapid decay at infinity
F. Golgeleyen, O. Y. Imanuvilov, M. Yamamoto
We consider an elliptic differential inequality: $\vert Îu(x) \vert \le C_0(\YYYY^{-γ}\vert u(x)\vert + \YYYY^{-θ}\vert \nabla u(x)\vert)$ in an exterior domain $\R^n \setminus…
math.AP2024
Inverse problems for one-dimensional fluid-solid interaction models
J. Apraiz, A. Doubova, E. Fernández-Cara +1
We consider a one-dimensional fluid-solid interaction model governed by the Burgers equation with a time varying interface. We discuss on the inverse problem of determining the sha…