Concerning ill-posedness for semilinear wave equations

Author:

Liu Mengyun,Wang Chengbo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference25 articles.

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2. Bahouri, H., Chemin, J.-Y., Danchin, R.: Fourier Analysis and Nonlinear Partial Differential Equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 343. Springer, Heidelberg (2011)

3. Dinh, V.D.: On the Cauchy problem for the nonlinear semi-relativistic equation in Sobolev spaces. Discrete Contin. Dyn. Syst. 38, 1127–1143 (2018)

4. Ettinger, B., Lindblad, H.: A sharp counterexample to local existence of low regularity solutions to Einstein equations in wave coordinates. Ann. Math. 2, 311–330 (2017)

5. Fang, D., Wang, C.: Some remarks on Strichartz estimates for homogeneous wave equation. Nonlinear Anal. 65, 697–706 (2006)

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1. Local well-posedness for incompressible neo-Hookean elastic equations in almost critical Sobolev spaces;Calculus of Variations and Partial Differential Equations;2024-03-07

2. Sharp local well-posedness for quasilinear wave equations with spherical symmetry;Journal of the European Mathematical Society;2022-10-04

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