Critical non-linearity for some evolution equations with Fujita-type critical exponent (Q6646129)

scientific article; zbMATH DE number 7951784

Language	Label	Description	Also known as
English	Critical non-linearity for some evolution equations with Fujita-type critical exponent	scientific article; zbMATH DE number 7951784

Statements

instance of

scholarly article

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title

Critical non-linearity for some evolution equations with Fujita-type critical exponent (English)

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author

Giovanni Girardi

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published in

NoDEA. Nonlinear Differential Equations and Applications

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publication date

29 November 2024

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zbMATH Keywords

semilinear evolution equations

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critical non-linearity

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non-existence

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global existence

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small data solutions

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MaRDI profile type

Publication

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cites work

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

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

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Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method

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Critical exponents and where to find them

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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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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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The absence of global positive solutions of quasilinear elliptic inequalities

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Q2783080

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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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Critical exponent for a nonlinear wave equation with damping

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On the diffusion phenomenon of quasilinear hyperbolic waves

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

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Identifiers

DOI

10.1007/s00030-024-01012-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6646129