A classification of structural dissipations for evolution operators (Q5739236)

scientific article; zbMATH DE number 6603705

Language	Label	Description	Also known as
English	A classification of structural dissipations for evolution operators	scientific article; zbMATH DE number 6603705

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instance of

scholarly article

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title

A classification of structural dissipations for evolution operators (English)

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Mathematical Methods in the Applied Sciences

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publication date

15 July 2016

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zbMATH Keywords

structural damping

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diffusion phenomena

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effective damping

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non-effective damping

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decay estimates

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\(\sigma\)-evolution operators

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WKB analysis

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.3713

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cites work

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Wave equations with time-dependent dissipation. I: Non-effective dissipation

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The threshold of effective damping for semilinear wave equations

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Solution representations for a wave equation with weak dissipation

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The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media

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\(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem

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\(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application

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Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space

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Semilinear structural damped waves

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L 1 Estimates for Oscillating Integrals Related to Structural Damped Wave Models

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Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework

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Global existence of small solutions to a class of nonlinear evolution equations

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Q4946797

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Asymptotic profiles for wave equations with strong damping

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Wave equations with strong damping in Hilbert spaces

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Q5247261

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Wave equations with time-dependent dissipation. II: Effective dissipation

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Qualitative properties of solutions to structurally damped \(\sigma\)-evolution models with time increasing coefficient in the dissipation

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Asymptotic behavior for abstract evolution differential equations of second order

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DECAY PROPERTY OF REGULARITY-LOSS TYPE AND APPLICATION TO SOME NONLINEAR HYPERBOLIC–ELLIPTIC SYSTEM

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Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation

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An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping

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Semi-linear wave equations with effective damping

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Global existence for semi-linear structurally damped \(\sigma\)-evolution models

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Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities

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Critical exponent for the semilinear wave equation with time-dependent damping

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Critical exponent for a nonlinear wave equation with damping

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Q4346711

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Identifiers

zbMATH Open document ID

1350.35102

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DOI

10.1002/mma.3713

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5739236