Dispersive Nonlinear Problems in Mathematical Physics

Area 01 – Scienze matematiche e informatiche

This volume contains contributions of authors working actively in different fields of evolution equations in mathematical physics. The results and surveys included here concern different equations: wave equations and phenomena associated with nonlinear waves, Schrödinger equations as well as the famous Navier - Stokes equations. The key intersection point in the treatment of so different problems of mathematicaphysics is the study of the asymptotic behavior of the solution and more precisely the time decay of some Lp, p > 2, norms of the solution. The time decay of the solutions can be interpreted as dispersive propertyof the solution and the dispersive phenomena are a subject of active study in recent decades with increasing intersection with harmonic analysis tools.

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