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scientific article; zbMATH DE number 7814212

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7814212

Statements

scholarly article

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Marcello D'Abbicco

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Giovanni Girardi

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publication date

6 March 2024

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zbMATH Keywords

semilinear evolution equations

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noneffective damping

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critical nonlinearity

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global existence

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small data solutions

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MaRDI profile type

MaRDI publication profile

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An equation whose Fujita critical exponent is not given by scaling

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Global small data solutions for semilinear waves with two dissipative terms

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The influence of a nonlinear memory on the damped wave equation

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A wave equation with structural damping and nonlinear memory

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A Benefit from the L ∞ Smallness of Initial Data for the Semilinear Wave Equation with Structural Damping

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\(L^1-L^1\) estimates for a doubly dissipative semilinear wave equation

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

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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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A classification of structural dissipations for evolution operators

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A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations

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\(L^p-L^q\) estimates for a parameter-dependent multiplier with oscillatory and diffusive components

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The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping

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The critical exponent(s) for the semilinear fractional diffusive equation

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A test function method for evolution equations with fractional powers of the Laplace operator

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Asymptotic profile for a two-terms time fractional diffusion problem

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Decay estimates for a perturbed two-terms space-time fractional diffusive problem

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\(L^1-L^1\) estimates for the strongly damped plate equation

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A scale of critical exponents for semilinear waves with time-dependent damping and mass terms

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Semi-linear wave equations with effective damping

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Semilinear structural damped waves

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Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory

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

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Critical regularity of nonlinearities in semilinear classical damped wave equations

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Critical exponent for damped wave equations with nonlinear memory

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Weighted Strichartz estimates and global existence for semilinear wave equations

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Semilinear damped Klein-Gordon models with time-dependent coefficients

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Finite-time blow-up for solutions of nonlinear wave equations

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Existence in the large for \(cmu=F(u)\) in two space dimensions

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Estimates for translation invariant operators in \(L^p\) spaces

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Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data

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An elementary proof of the blow-up for semilinear wave equation in high space dimensions

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Blow-up of solutions of nonlinear wave equations in three space dimensions

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

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Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping

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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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On the asymptotic behavior of solutions of semi-linear wave equations

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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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\(L^p\) estimates for the waves equation

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The equation <i>u<sub>tt</sub> − Δu = |u|<sup>p</sup></i> for the critical value of <i>p</i>

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Nonexistence of global solutions to semilinear wave equations in high dimensions

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Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation

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Critical exponent for a nonlinear wave equation with damping

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

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

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On the diffusion phenomenon of quasilinear hyperbolic waves

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Finite time blow up for critical wave equations in high dimensions

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A blow-up result for a nonlinear wave equation with damping: The critical case

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.6092/ISSN.2240-2829/18879

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Sitelinks

Mathematics(1 entry)

mardi Publication:6150757

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