Identification Problem for Telegraph-Parabolic Equations
Allaberen Ashyralyev, Maksat Ashyraliyev, Maral Ashyralyyeva
Abstract
An identification problem for an equation of mixed telegraph-parabolic type with an unknown parameter depending on spatial variables is considered. The unique solvability of this problem is proved, and stability inequalities for its solution are established. As applications, stability estimates are obtained for the solutions of four identification problems for telegraph-parabolic equations with an unknown source depending on spatial variables.
Topics & Concepts
MathematicsParabolic partial differential equationIdentification (biology)Stability (learning theory)Telegrapher's equationsApplied mathematicsMathematical analysisParameter identification problemType (biology)Partial differential equationComputer scienceMachine learningTransmission lineModel parameterTelecommunicationsBiologyEcologyBotanyDifferential Equations and Boundary ProblemsNumerical methods in inverse problemsDifferential Equations and Numerical Methods