Browsing by Author "Lu, Jinpeng"

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Quantitative unique continuation for the elasticity system with application to the kinematic inverse rupture problem
    (Taylor & Francis, 2023) de Hoop, Maarten V.; Lassas, Matti; Lu, Jinpeng; Oksanen, Lauri
    We obtain explicit estimates on the stability of the unique continuation for a linear system of hyperbolic equations. In particular, our result applies to the elasticity system and also the Maxwell system. As an application, we study the kinematic inverse rupture problem of determining the jump in displacement and the friction force at the rupture surface, and we obtain new features on the stable unique continuation up to the rupture surface.
  • Thumbnail Image
    Item
    Stable Recovery of Coefficients in an Inverse Fault Friction Problem
    (Springer Nature, 2024) de Hoop, Maarten V.; Lassas, Matti; Lu, Jinpeng; Oksanen, Lauri
    We consider the inverse fault friction problem of determining the friction coefficient in the Tresca friction model, which can be formulated as an inverse problem for differential inequalities. We show that the measurements of elastic waves during a rupture uniquely determine the friction coefficient at the rupture surface with explicit stability estimates.