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

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Initial value problems for nonlinear higher-order PDEs (35G25) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)

Cites Work

Title not available (Why is that?)
Title not available (Why is that?)
A new phenomenon in the critical exponent for structurally damped semi-linear evolution equations
Critical exponent for damped wave equations with nonlinear memory
On the asymptotic behavior of solutions of semi-linear wave equations
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
Nonlinear Liouville theorems for Grushin and Tricomi operators.
The absence of global positive solutions of quasilinear elliptic inequalities
Critical exponents for semilinear dissipative wave equations in \({\mathbb{R}}^N\)
A scale of critical exponents for semilinear waves with time-dependent damping and mass terms
Global existence of solutions for semilinear damped wave equations in \(\mathbb R^N\) with noncompactly supported initial data
Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
\(L^p-L^q\) 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
Critical regularity of nonlinearities in semilinear classical damped wave equations
A test function method for evolution equations with fractional powers of the Laplace operator
Sharp upper bound for lifespan of solutions to some critical semilinear parabolic, dispersive and hyperbolic equations via a test function method
\(L^p\)-\(L^q\) estimates for the damped wave equation and the critical exponent for the nonlinear problem with slowly decaying data
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
Nonexistence of weak solutions for some degenerate and singular hyperbolic problems on \(\mathbb{R}_+^{n+1}\)
Semilinear structural damped waves
Asymptotics for Damped Evolution Operators with Mass-like Terms
Critical exponents and where to find them
A classification of structural dissipations for evolution operators
A modified test function method for damped waves
On the diffusion phenomenon of quasilinear hyperbolic waves
Critical exponent for a nonlinear wave equation with damping
A structurally damped \(\sigma\)-evolution equation with nonlinear memory

This page was built for publication: Critical non-linearity for some evolution equations with Fujita-type critical exponent

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6646129)