Concepedia

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

Masahiro Ikeda, Motohiro Sobajima

Nonlinear Analysis · 2018 · 58 citations · 33 references

DOI

Concepts

References

33

Critical Exponent for a Nonlinear Wave Equation with Damping

Grozdena Todorova, Borislav Yordanov · Journal of Differential Equations · 2001 · 396 citations

, , +14

On nonexistence of global solutions of some semilinear parabolic differential equations

Kantaro Hayakawa · Proceedings of the Japan Academy Series A Mathematical Sciences · 1973 · 380 citations · Full text

, , +6

On the growing up problem for semilinear heat equations

Kusuo Kobayashi, Tunekiti Sirao, Hiroshi Tanaka · Journal of the Mathematical Society of Japan · 1977 · 337 citations · Full text

, , +12

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

Qi S. Zhang · Comptes Rendus de l Académie des Sciences - Series I - Mathematics · 2001 · 318 citations

, , +14

On nonexistence of global solutions of some semilinear parabolic equations

Kantaro Hayakawa · Medical Entomology and Zoology · 1973 · 233 citations

, , +12