Lectures on Cauchy's Problem in Linear Partial Differential by Jacques Hadamard

By Jacques Hadamard

Would good pay off research via so much theoretical physicists." — Physics Today
"An overwhelming impact on next paintings at the wave equation." — Science Progress
"One of the classical treatises on hyperbolic equations." — Royal Naval medical Service
Delivered at Columbia collage and the colleges of Rome and Zürich, those lectures characterize a pioneering research. Jacques Hadamard established his examine on earlier experiences by way of Riemann, Kirchhoff, and Volterra. He prolonged and more suitable Volterra's paintings, using its theories when it comes to round and cylindrical waves to all general hyperbolic equations rather than simply to at least one. themes contain the final homes of Cauchy's challenge, the elemental formulation and the effortless answer, equations with a strange variety of self sufficient variables, and equations with a fair variety of self sufficient variables and the tactic of descent.

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