scientific article; zbMATH DE number 7814212

DOI10.6092/issn.2240-2829/18879MaRDI QIDQ6150757

Giovanni Girardi, Marcello D'Abbicco

Publication date: 6 March 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

global existence critical nonlinearity semilinear evolution equations small data solutions noneffective damping

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90) Second-order semilinear hyperbolic equations (35L71)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
Semi-linear wave equations with effective damping
\(L^1-L^1\) estimates for a doubly dissipative semilinear wave equation
Critical exponent for damped wave equations with nonlinear memory
Nonexistence of global solutions to semilinear wave equations in high dimensions
Asymptotic behavior of solutions to the semilinear wave equation with time-dependent damping
Estimates for translation invariant operators in \(L^p\) spaces
Wave equations with time-dependent dissipation. I: Non-effective dissipation
Wave equations with time-dependent dissipation. II: Effective dissipation
Finite-time blow-up for solutions of nonlinear wave equations
\(L^p\) estimates for the waves equation
Existence in the large for \(cmu=F(u)\) in two space dimensions
On the asymptotic behavior of solutions of semi-linear wave equations
Blow-up of solutions of nonlinear wave equations in three space dimensions
The \(L^{p}\)--\(L^{q}\) estimates of solutions to one-dimensional damped wave equations and their application to the compressible flow through porous media
\(L^p\)-\(L^q\) estimates of solutions to the damped wave equation in 3-dimensional space and their application
A scale of critical exponents for semilinear waves with time-dependent damping and mass terms
Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory
Critical exponent for the semilinear wave equation with time-dependent damping
Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
An elementary proof of the blow-up for semilinear wave equation in high space dimensions
\(L^p\)-\(L^q\) estimates for damped wave equations and their applications to semi-linear problem
\(L^p-L^q\) estimates for a parameter-dependent multiplier with oscillatory and diffusive components
The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping
Asymptotic profile for a two-terms time fractional diffusion problem
Global small data solutions for semilinear waves with two dissipative terms
Critical regularity of nonlinearities in semilinear classical damped wave equations
A test function method for evolution equations with fractional powers of the Laplace operator
A wave equation with structural damping and nonlinear memory
\(L^1-L^1\) estimates for the strongly damped plate equation
Semilinear damped Klein-Gordon models with time-dependent coefficients
Global existence for semi-linear structurally damped \(\sigma\)-evolution models
Finite time blow up for critical wave equations in high dimensions
The critical exponent(s) for the semilinear fractional diffusive equation
Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework
An application of \(L^p-L^q\) decay estimates to the semi-linear wave equation with parabolic-like structural damping
An equation whose Fujita critical exponent is not given by scaling
The influence of a nonlinear memory on the damped wave equation
A blow-up result for a nonlinear wave equation with damping: The critical case
Semilinear structural damped waves
A Benefit from the L ∞ Smallness of Initial Data for the Semilinear Wave Equation with Structural Damping
The equation u_tt − Δu = |u|^p for the critical value of p
Weighted Strichartz estimates and global existence for semilinear wave equations
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
A classification of structural dissipations for evolution operators
On the diffusion phenomenon of quasilinear hyperbolic waves
Critical exponent for a nonlinear wave equation with damping
Decay estimates for a perturbed two-terms space-time fractional diffusive problem