New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
In this work we establish the local solvability of quasilinear symmetric hyperbolic system using local monotonicity method and frequency truncation method. The existence of an optimal control is also proved as an application of these methods.
Evolution Equations and Control Theory
Mohan, M. T., & Sritharan, S. S. (2016). New methods for local solvability of quasilinear symmetric hyperbolic systems. Evolution Equations and Control Theory, 5(2), 273–302. https://doi.org/10.3934/eect.2016005