Blow Up of Solutions to Semilinear Wave Equations with Critical Exponent in High Dimensions*

By Yi Zhou. 2007

136 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A competition between Fujita and Strauss type exponents for blow-up of semi-linear wave equations with scale-invariant damping and mass (2019, methodology): “), the critical exponent is the so-called Strauss exponent p 0(n), which is deﬁned as the positive root of the quadratic equation (n−1)p2 −(n+1)p−2 = 0. In particular, we refer to the classical works [16, 17, 8, 27, 26, 15, 39, 41] and references therein for blow-up results when 1 <p≤ p 0(n). In ”
Life-span of solutions to semilinear wave equation with time-dependent critical damping for specially localized initial data (2017, background): “[16] Y. Zhou, Blow up of solutions to semilinear wave equations with critical exponent in high dimen- sions, Chin.”
Nonexistence of global solutions for the semilinear Moore – Gibson – Thompson equation in the conservative case (2019, background): “According to [17, 21, 39, 12, 13, 38, 37, 49, 27, 11, 42, 16, 45, 50, 22] the so – called Strauss exponent pStr(n) is the critical exponent of (1.”
Life-Span of Solutions to Critical Semilinear Wave Equations (2011, methodology): “When n ≥ 4, the blow-up problem for the critical wave equations problem was solved by Yordanov and Zhang [21] and Zhou [25] by different methods respectively.”