Construction of a Multisoliton Blowup Solution to the Semilinear Wave Equation in One Space Dimension

77 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.

Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation (2013, methodology): “lic and parabolic PDE, in particular with energy-critical exponents. This was the case for the construction of multi-solitons for the semilinear wave equation in one space dimension by Cˆote and Zaag [CZ13], the wave maps by Rapha¨el and Rodnianski [RR12], the Schro¨dinger maps by Merle, Rapha¨el an”
Blow up for the critical gKdV equation II: minimal mass dynamics (2012, methodology): “and start defocusing, and here the sharp knowledge of the speed of defocusing is fundamental for the proof. Another approach for the construction of the minimal blow up element in the continuation of [36, 25, 31, 5, 6, 7, 19, 53] would have been to take the initial data Qb(t n) at some time t n↓ 0 w”