Decay properties for solutions of fifth order nonlinear dispersive equations
نویسندگان
چکیده
منابع مشابه
Decay Properties for Solutions of Fifth Order Nonlinear Dispersive Equations
We consider the initial value problem associated to a large class of fifth order nonlinear dispersive equations. This class includes several models arising in the study of different physical phenomena. Our aim is to establish special (space) decay properties of solutions to these systems. These properties complement previous unique continuation results and in some case, show that they are optim...
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The following question is posed: to justify that the standing shock wave S−(x) = −signx = − { −1 for x < 0, 1 for x > 0, is a correct “entropy” solution of fifth-order nonlinear dispersion equations (NDEs), ut = −(uux)xxxx and ut = −(uuxxxx)x in R × R+. These two quasilinear degenerate PDEs are chosen as typical representatives, so other similar (2m+ 1)th-order NDEs with no divergence structure...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2015
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.10.004