Great Price "Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)" for $25.00 Today
Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations (Operator Theory: Advances and Applications / Advances in Partial Differential Equations) Features
- ISBN13: 9783764321680
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Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations (Operator Theory: Advances and Applications / Advances in Partial Differential Equations) Overviews
This volume focuses on recent developments in non-linear and hyperbolic equations. In the first contribution, the singularities of the solutions of several classes of non-linear partial differential equations are investigated. Applications concern the Monge-Ampère equation, quasi-linear systems arising in fluid mechanics as well as integro-differential equations for media with memory. There follows an article on L_p-L_q decay estimates for Klein-Gordon equations with time-dependent coefficients, explaining, in particular, the influence of the relation between the mass term and the wave propagation speed. The next paper addresses questions of local existence of solutions, blow-up criteria, and C^8 regularity for quasilinear weakly hyperbolic equations. Spectral theory of semibounded selfadjoint operators is the topic of a further contribution, providing upper and lower bounds for the bottom eigenvalue as well as an upper bound for the second eigenvalue in terms of capacitary estimates.
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