Inverse problems for nonlinear hyperbolic equations
Günther Uhlmann, Jian Zhai
Abstract
<p style='text-indent:20px;'>There has been considerable progress in recent years in solving inverse problems for nonlinear hyperbolic equations. One of the striking aspects of these developments is the use of nonlinearity to get new information, which is not possible for the corresponding linear equations. We illustrate this for several examples including Einstein equations and the equations of nonlinear elasticity among others.
Topics & Concepts
Nonlinear systemInverseMathematicsHyperbolic partial differential equationInverse problemApplied mathematicsSimultaneous equationsElasticity (physics)Mathematical analysisPartial differential equationDifferential equationPhysicsGeometryThermodynamicsQuantum mechanicsNumerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringAdvanced Numerical Methods in Computational Mathematics