Determination of the blow-up rate for a critical semilinear wave equation
By F. Merle, Hatem Zaag. 2005
110 citations recorded by the source corpus.
Abstract.In this paper, we determine the blow-up rate for the semilinear wave equation with critical power nonlinearity related to the conformal invariance.
Subfields: Control and Systems Engineering, Mathematical Physics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/eb56dda413db7699252e126ceb91e516bdebdc11
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In Control and Systems Engineering
In Mathematical Physics
In Numerical Analysis
Citations in the corpus
- Scattering for the radial 3D cubic wave equation (2014, background): “In two remarkable works, Merle and Zaag [39, 40] determined that all blow-up solutions must blow-up at the self-similar rate.”
- Existence and universality of the blow-up profile for the semilinear wave equation in one space dimension (2007, unknown): “As we did in our earlier work [18], [17] and [19], we adopt in this paper a different point of view and aim at describing the blow-up behavior for any blow-up solution.”
- Slow blow-up solutions for the $H^1({\mathbb R}^3)$ critical focusing semilinear wave equation (2009, background): “The question of the blow-up rate was addressed by Merle–Zaag in the conformal range p ≤ 3, see [13]–[15] (their results extend to all dimensions).”
- Openness of the Set of Non-characteristic Points and Regularity of the Blow-up Curve for the 1 D Semilinear Wave Equation (2008, unknown): “As we did in our earlier work ([19], [17], [16] and [18]), we adopt in this paper a different point of view and aim at describing the blow-up behavior for any blow-up solution.”