On the critical regularity of nonlinearities for semilinear classical wave equations

Smoothness and regularity of solutions to PDEs (35B65) Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Second-order semilinear hyperbolic equations (35L71)

Cites Work

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A shift in the strauss exponent for semilinear wave equations with a not effective damping
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Critical regularity of nonlinearities in semilinear classical damped wave equations
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Finite time blow up for critical wave equations in high dimensions
Blow up of solutions to semilinear wave equations with critical exponent in high dimensions
The equation u_tt − Δu = |u|^p for the critical value of p
Existence of a global solution to a semi–linear wave equation with slowly decreasing initial data in three space dimensions
Biow-up of solutions of some nonlinear hyperbolic equations
Asymptotic behaviour of solutions to semilinear wave equations with initial data of slow decay
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Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
Slowly decaying solutions for semilinear wave equations in odd space dimensions
Function Spaces

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