Recent works on the Strauss conjecture

E. M. Stein, G. Weiss, Introduction to Fourier analysis on Euclidean spaces

1971

Earlier work this paper cites.

B. R. Vainberg, The short-wave asymptotic behavior of the solutions of stationary problems, and the asymptotic behavior as t → ∞ t\rightarrow\infty of the solutions of nonstationary problems

1975

Earlier work this paper cites.

J. Bergh, J. Löfström, Interpolation spaces. An introduction

1976

Earlier work this paper cites.

M. Taylor, Grazing rays and reflection of singularities of solutions to wave equations

1976

Earlier work this paper cites.

R. B. Melrose, J. Sjöstrand, Singularities of boundary value problems. I

1978

Earlier work this paper cites.

W. A. Strauss, Everywhere defined wave operators

1978

Earlier work this paper cites.

F. John, Blow-up of solutions of nonlinear wave equations in three space dimensions

1979

Earlier work this paper cites.

T. Kato, Blow-up of solutions of some nonlinear hyperbolic equations

1980

Earlier work this paper cites.

R. T. Glassey, Existence in the large for □ ​ u = F ⁡ ( u ) \square u=F(u) in two space dimensions

1981

Earlier work this paper cites.

R. T. Glassey, Finite-time blow-up for solutions of nonlinear wave equations

1981

Earlier work this paper cites.

W. A. Strauss, Nonlinear scattering theory at low energy

1981

Earlier work this paper cites.

T. C. Sideris, Nonexistence of global solutions to semilinear wave equations in high dimensions

1984

Earlier work this paper cites.

J. Schaeffer, The equation □ ​ u = | u | p \Box u=|u|^{p} for the critical value of p p

1985

Earlier work this paper cites.

H. Lindblad, Blow up for solutions of □ ​ u = | u | p \square u=|u|^{p} with small initial data

1990

Earlier work this paper cites.

T. T. Li, X. Yu, Life-span of classical solutions to fully nonlinear wave equations

1991

Earlier work this paper cites.

Y. Zhou, Blow up of classical solutions to □ ​ u = | u | 1 + α \square u=|u|^{1+\alpha} in three space dimensions

1992

Earlier work this paper cites.

Y. Zhou, Life span of classical solutions to u t ​ t − u x ​ x = | u | 1 + α u_{tt}-u_{xx}=|u|^{1+\alpha}

1992

Earlier work this paper cites.

Y. Zhou, Life span of classical solutions to □ ​ u = | u | p \square u=|u|^{p} in two space dimensions

1993

Earlier work this paper cites.

H. Takamura, An elementary proof of the exponential blow-up for semi-linear wave equations

1994

Earlier work this paper cites.

T. T. Li, Y. Zhou, A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions

1995

Earlier work this paper cites.

Y. Zhou, Cauchy problem for semilinear wave equations with small data in four space dimensions

1995

Cited alongside, same era.

H. Kubo, On the critical decay and power for semilinear wave equations in odd space dimensions

1996

Cited alongside, same era.

H. Lindblad, C. D. Sogge, Long-time existence for small amplitude semilinear wave equations

1996

Cited alongside, same era.

V. Georgiev, H. Lindblad, C. D. Sogge, Weighted Strichartz estimates and global existence for semilinear wave equations

1997

Cited alongside, same era.

T. Hoshiro, On weighted L 2 L^{2} estimates of solutions to wave equations

1997

Cited alongside, same era.

H. F. Smith, C. D. Sogge, Global Strichartz estimates for nontrapping perturbations of the Laplacian

D. Fang, C. Wang, Some remarks on Strichartz estimates for homogeneous wave equation

2006

Later among the works it cites.

J. Metcalfe, C. D. Sogge, Long time existence of quasilinear wave equations exterior to star-shaped obstacles via energy methods

2006

Later among the works it cites.

T. Tao, Nonlinear dispersive equations: Local and global analysis

2006

Later among the works it cites.

B. Yordanov, Q. S. Zhan, Finite time blow up for critical wave equations in high dimensions

2006

Later among the works it cites.

K. Hidano, Morawetz-Strichartz estimates for spherically symmetric solutions to wave equations and applications to semilinear Cauchy problems

2007

Later among the works it cites.

K. Hidano, private communication, November 2007