SIAM Journal on Applied Mathematics, Vol. 48, No. 1 (Feb., 1988), pp. 1-37 (37 pages) We derive an asymptotic partial differential equation which describes the diffraction of a weakly nonlinear high ...
In this paper, we study the well-posedness of the initial-boundary value problems of some quasilinear parabolic equations, namely, nonlinear heat equations and the porous medium equation in the ...
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