Inverse problem for a nonlinear third order in time partial differential equation. (English) Zbl 1470.35438
Summary: In this article, we study the inverse problem of recovering a time-dependent coefficient of a nonlinear third order in time partial differential equation (PDE), which is usually referred to as Moore-Gibson-Thompson equation, from knowledge of a one boundary measurement.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35G31 | Initial-boundary value problems for nonlinear higher-order PDEs |
| 35L35 | Initial-boundary value problems for higher-order hyperbolic equations |
Keywords:
existence and uniqueness; Moore-Gibson-Thompson equation; nonlinear third order in time PDE; recovering a time-dependent coefficient; boundary measurementReferences:
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