Unbounded solutions of the modified Korteweg-De Vries equation
In this dissertation we prove local existence and uniqueness of solutions of the focusing modified Korteweg - de Vries equation ut + u2ux + uxxx = 0 in classes of unbounded functions that admit an asymptotic expansion at infinity in decreasing powers of x. We show that an asymptotic solution differs...
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| Online Access: | http://hdl.handle.net/2047/d20000881 |