Asymptotic Methods for the Solu of Dispersive Hyperbolic Equations
Asymptotic Methods for the Solu of Dispersive Hyperbolic Equations
Robert M Lewis
The book Asymptotic Methods for the Solu of Dispersive Hyperbolic Equations was written by author Robert M Lewis Here you can read free online of Asymptotic Methods for the Solu of Dispersive Hyperbolic Equations book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Asymptotic Methods for the Solu of Dispersive Hyperbolic Equations a good or bad book?
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Zja)[i-t hj b;;]-V2. 1-t X s", 1/2 00 O v» ' l. Th "s" (h5) (1*6) and Summarizing our results, we see that u * u + u where u^». -z^(0)[i-th^ ^o]~^^^ ^"^ { ^'^^% + -^ t) j, X - -a-gt u_^ z^(a)[l-th^ 3^""^^^ ^^ f ^^^% +it) I, X = a-tgt. (^7) (^) This con5)letes the solutlcm of the initial-boundary value problem. From (47) and (1*8) we note that u^(t, x) = -u_(t, -x). (k9) Of course {k9) is easily obtained by the "image method** which yields the solution of the InitiaX-boundary Value problem at on...ce in terms of the solirtion u of the initial value problem. Thus this method provides a check on the construction we have vised. The above problem, though essentially trivial suffices to * In this case the image method would consist in extending tlB initial data to X
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