Sharp local well-posedness holds for the Hirota-Satsuma system in H^k(R) × H^s(R) with k and s possibly unequal, determined by the dispersion ratio, generalizing the equal-regularity case.
Normal forms and quadratic nonlinear Klein-Gordon equations
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Establishes global existence for a weakly coupled nonlinear wave-Klein-Gordon system in two spatial dimensions via conformal energy estimates on hyperboloids and normal form transforms.
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Sharp local well-posedness for the Hirota-Satsuma system
Sharp local well-posedness holds for the Hirota-Satsuma system in H^k(R) × H^s(R) with k and s possibly unequal, determined by the dispersion ratio, generalizing the equal-regularity case.
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Global solutions of nonlinear wave-Klein-Gordon system in two spatial dimensions: weak coupling case
Establishes global existence for a weakly coupled nonlinear wave-Klein-Gordon system in two spatial dimensions via conformal energy estimates on hyperboloids and normal form transforms.