This course is an introduction to the theory of non-linear wave equations. The plan is to cover the following topics: (1) The linear wave equation in Minkowski space: Representation formula, Fourier ...
Annals of Mathematics, SECOND SERIES, Vol. 183, No. 3 (May, 2016), pp. 787-913 (127 pages) ...
Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...
Partial differential equations (PDEs) lie at the heart of many different fields of Mathematics and Physics: Complex Analysis, Minimal Surfaces, Kähler and Einstein Geometry, Geometric Flows, ...
Annals of Mathematics, Second Series, Vol. 161, No. 3 (May, 2005), pp. 1143-1193 (51 pages) This is the first in a series of papers in which we initiate the study of very rough solutions to the ...
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