Contents of Volume 60
Evolution Equations
Propagation Phenomena
Global Existence
Influence of Non-Linearities
Editors: Rainer Picard, Michael Reissig, Wojciech M. Zajączkowski
doi:10.4064/bc60
Propagation Phenomena
Global Existence
Influence of Non-Linearities
Editors: Rainer Picard, Michael Reissig, Wojciech M. Zajączkowski
doi:10.4064/bc60
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Bi-spaces global attractors in abstract parabolic equations Banach Center Publications 60 (2003), 13-26 MSC: Primary 35B40, 35B41, 35K15, 35K45 DOI: 10.4064/bc60-0-1
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Cone invariance and squeezing properties for inertial manifolds for nonautonomous evolution equations Banach Center Publications 60 (2003), 27-48 MSC: 34C30, 34D45, 34G20, 35B42, 37L25 DOI: 10.4064/bc60-0-2
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Analyticity of solutions and Kolmogorov's dissipation scale for 2D Navier-Stokes equations Banach Center Publications 60 (2003), 49-53 MSC: Primary 35Q30; Secondary 60H15 DOI: 10.4064/bc60-0-3
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About the decay of surface waves on viscous fluids without surface tension Banach Center Publications 60 (2003), 55-72 MSC: 35Q30, 35M10, 76D05, 16N10 DOI: 10.4064/bc60-0-4
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$L_p$-analyticity of Schrödinger semigroups on Riemannian manifolds Banach Center Publications 60 (2003), 73-80 MSC: 47D06, 47N20, 35J10 DOI: 10.4064/bc60-0-5
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Higher order estimates in further dimensions for the solutions of Navier-Stokes equations Banach Center Publications 60 (2003), 81-84 MSC: 35Q30, 76D05 DOI: 10.4064/bc60-0-6
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On the $L_p$-decay and local energy decay of solutions to nonlinear Klein-Gordon equations Banach Center Publications 60 (2003), 87-93 MSC: Primary 46E35; Secondary 35L05 DOI: 10.4064/bc60-0-7
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On Lipschitz continuity of the solution map for two-dimensional wave maps Banach Center Publications 60 (2003), 95-103 MSC: Primary 35L10; Secondary 35L50 DOI: 10.4064/bc60-0-8
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An application of the theory of edge Sobolev spaces to weakly hyperbolic operators Banach Center Publications 60 (2003), 105-119 MSC: Primary 35L80; Secondary 46E35, 35L15 DOI: 10.4064/bc60-0-9
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Representation theorem for the solution of weakly hyperbolic equations with fast oscillating coefficients Banach Center Publications 60 (2003), 121-130 MSC: Primary 35C15, 35L15; Secondary 35L80 DOI: 10.4064/bc60-0-10
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$C^{\infty}$-well posedness of the Cauchy problem for quasi-linear hyperbolic equations with coefficients non-Lipschitz in time and smooth in space Banach Center Publications 60 (2003), 131-150 MSC: Primary 35L80; Secondary 35L15 DOI: 10.4064/bc60-0-11
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Recent progress in the regularity theory of Fourier integrals with real and complex phases and solutions to partial differential equations Banach Center Publications 60 (2003), 151-160 MSC: Primary 35S30, 35L30; Secondary 58J40 DOI: 10.4064/bc60-0-12
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A calculus for a class of finitely degenerate pseudodifferential operators Banach Center Publications 60 (2003), 161-189 MSC: Primary 35J70, 35S15; Secondary 35J40, 35H10 DOI: 10.4064/bc60-0-13
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Formation and development of global shock for $p$-system Banach Center Publications 60 (2003), 193-197 MSC: Primary 35L67, 35L65 DOI: 10.4064/bc60-0-14
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A general investigation of admissible couplings between systems of higher order and different type Banach Center Publications 60 (2003), 199-208 MSC: 35G20, 35M10 DOI: 10.4064/bc60-0-15
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On the anomalous singularities of the solutions to some classes of weakly hyperbolic semilinear systems. Examples Banach Center Publications 60 (2003), 209-218 MSC: Primary 35L60, 35L67 DOI: 10.4064/bc60-0-16
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Stability for dissipative magneto-elastic systems Banach Center Publications 60 (2003), 219-225 MSC: 74F05, 74F15 DOI: 10.4064/bc60-0-17
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A new approach to study hyperbolic-parabolic coupled systems Banach Center Publications 60 (2003), 227-236 MSC: Primary 35M10, 35A21; Secondary 35Q30, 80A17 DOI: 10.4064/bc60-0-18
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The $p$-system II: The vacuum Banach Center Publications 60 (2003), 237-252 MSC: 35L65, 76N15 DOI: 10.4064/bc60-0-19
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On nonstationary motion of a fixed mass of a general fluid bounded by a free surface Banach Center Publications 60 (2003), 253-266 MSC: 35Q35, 35R35, 76N10 DOI: 10.4064/bc60-0-20
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Cauchy problem in generalized Gevrey classes Banach Center Publications 60 (2003), 269-278 MSC: Primary 35L40 DOI: 10.4064/bc60-0-21
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Propagation of uniform Gevrey regularity of solutions to evolution equations Banach Center Publications 60 (2003), 279-293 MSC: Primary 35B65; Secondary 35G25, 35S05 DOI: 10.4064/bc60-0-22
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Solvability for semilinear PDE with multiple characteristics Banach Center Publications 60 (2003), 295-303 MSC: 35S05 DOI: 10.4064/bc60-0-23
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Generalized Fokker-Planck equations and convergence to their equilibria Banach Center Publications 60 (2003), 307-318 MSC: Primary 35K90; Secondary 35B40 DOI: 10.4064/bc60-0-24
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Existence and uniqueness for the three-dimensional thermoelasticity system in shape memory problems Banach Center Publications 60 (2003), 319-335 MSC: 35Q72, 35K50, 35K60, 74B20 DOI: 10.4064/bc60-0-25
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Self-similar solutions in reaction-diffusion systems Banach Center Publications 60 (2003), 337-346 MSC: Primary 35B40; Secondary 35K55 DOI: 10.4064/bc60-0-26