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Determining a nonlinear hyperbolic system with unknown sources and nonlinearity

Determining a nonlinear hyperbolic system with unknown sources and nonlinearity

Abstract This paper is devoted to some inverse boundary problems associated with a timeā€dependent semilinear hyperbolic equation, where both nonlinearity and sources (including initial displacement and initial velocity) are unknown. It is shown in several generic scenarios that one can uniquely determine the nonlinearity and/or the sources by using passive ā€¦