New bilinear estimates for quadratic-derivative nonlinear wave equations in 2+1 dimensions
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 Lebesgue spaces to bilinear estimates in associated wave Fourier Lebesgue spaces, for which we prove n...
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| Language: | ENG |
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ScholarWorks@UMass Amherst
2012
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| Online Access: | https://scholarworks.umass.edu/dissertations/AAI3546060 |