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Evolution equations of hyperbolic and Schrödinger type. Asymptotics, estimates and nonlinearities. Based on a workshop on asymptotic properties of solutions to hyperbolic equations, London, UK, March 2011. (English) Zbl 1250.35006

Progress in Mathematics 301. Basel: Springer (ISBN 978-3-0348-0453-0/hbk; 978-3-0348-0454-7/ebook). viii, 324 p. (2012).

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The articles of this volume will be reviewed individually.
Indexed articles:
Ben-Artzi, Matania, Divergence-type operators: spectral theory and spacetime estimates, 1-40 [Zbl 1393.47003]
Bournaveas, Nikolaos; Calvez, Vincent, Kinetic models of chemotaxis, 41-52 [Zbl 1257.35052]
Cicognani, Massimo; Colombini, Ferruccio, Modulus of continuity and decay at infinity in evolution equations with real characteristics, 53-62 [Zbl 1257.35072]
Cordero, Elena; Nicola, Fabio; Rodino, Luigi, Time-frequency analysis of Schrödinger propagators, 63-85 [Zbl 1257.35201]
Dave, Shantanu; Hörmann, Günther; Kunziger, Michael, Geometric regularization on Riemannian and Lorentzian manifolds, 87-102 [Zbl 1259.58007]
Del Santo, Daniele, A remark on the uniqueness for backward parabolic operators with non-Lipschitz-continuous coefficients, 103-114 [Zbl 1258.35004]
Georgiev, Vladimir; Tarulli, Mirko, Dispersive properties of Schrödinger operators in the absence of a resonance at zero energy in 3D, 115-143 [Zbl 1270.35076]
Georgiev, Vladimir; Velichkov, Bozhidar, Decay estimates for the supercritical 3-D Schrödinger equation with rapidly decreasing potential, 145-162 [Zbl 1257.35169]
Hörmann, Günther; Kunzinger, Michael; Steinbauer, Roland, Wave equations on non-smooth space-times, 163-186 [Zbl 1262.58018]
Kubo, Hideo, Lower bounds for the lifespan of solutions to nonlinear wave equations in elasticity, 187-212 [Zbl 1273.35063]
Matsuyama, Tokio, Representation formula of the resolvent for wave equation with a potential outside the convex obstacle, 213-225 [Zbl 1264.35153]
Mochizuki, K.; Trooshin, I. Yu., On the scattering on a loop-shaped graph, 227-245 [Zbl 1254.78014]
Parenti, Cesare; Parmeggiani, Alberto, On the Cauchy problem for hyperbolic operators with double characteristics, 247-266 [Zbl 1282.35222]
Ruzhansky, Michael; Sugimoto, Mitsuru; Wang, Baoxiang, Modulation spaces and nonlinear evolution equations, 267-283 [Zbl 1256.42038]
Serovajsky, Simon; Shakenov, Kanat, An optimal control problem for a nonlinear hyperbolic equation with an infinite time horizon, 285-300 [Zbl 1254.49015]
Spagnolo, Sergio; Taglialatela, Giovanni, Local in space energy estimates for second-order hyperbolic equations, 301-313 [Zbl 1282.35107]
Takamura, Hiroyuki; Wakasa, Kyouhei, The final problem on the optimality of the general theory for nonlinear wave equations, 315-324 [Zbl 1258.35146]

MSC:

35-06 Proceedings, conferences, collections, etc. pertaining to partial differential equations
35Lxx Hyperbolic equations and hyperbolic systems
35Pxx Spectral theory and eigenvalue problems for partial differential equations
35Q35 PDEs in connection with fluid mechanics
35Q51 Soliton equations
35Q55 NLS equations (nonlinear Schrödinger equations)
58J45 Hyperbolic equations on manifolds
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
00B25 Proceedings of conferences of miscellaneous specific interest
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