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The paper considers a manifold M evolving under the Ricci ow and establishes a series of gradient estimates for positive solutions of the heat equation on M. Among other results, we prove Li-Yau-ty...
This thesis is concerned with the Cauchy problem for the quadratic derivative nonlinear wave equation in two spatial dimensions. Using standard techniques, we reduce local well-posedness in Fourier Le...
We establish the Strauss conjecture for nontrapping obstacles when the spatial dimension n is two. As pointed out in [7] this case is more subtle than n = 3 or 4 due to the fact that the arguments of ...
In this paper, we are interested in the Lp-estimates of the Boltzmann equation in the case that the distribution function stays around a travelling local Maxwellian. For this, we divide both sides of ...

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