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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Nonlinear Wave Equations (Hardcover, 1st ed. 2017)
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Nonlinear Wave Equations (Hardcover, 1st ed. 2017)
Series: Series in Contemporary Mathematics, 2
Expected to ship within 12 - 17 working days
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This book focuses on nonlinear wave equations, which are of
considerable significance from both physical and theoretical
perspectives. It also presents complete results on the lower bound
estimates of lifespan (including the global existence), which are
established for classical solutions to the Cauchy problem of
nonlinear wave equations with small initial data in all possible
space dimensions and with all possible integer powers of nonlinear
terms. Further, the book proposes the global iteration method,
which offers a unified and straightforward approach for treating
these kinds of problems. Purely based on the properties of solut
ions to the corresponding linear problems, the method simply
applies the contraction mapping principle.
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