We consider the nonlinear Schroedinger equation in dimension one with nonlinearity concentrated in a region around a finite number of points y_1, … ,y_n. If the region shrinks to the points, we prove that the solution converges to the solution of the nonlinear Schroedinger equation with nonlinearity concentrated in y_1, … ,y_n.
The nls equation in dimension one with spatially concentrated nonlinearities: the point like limit / C., Cacciapuoti; D., Finco; D., Noja; Teta, Alessandro. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 104(2014), pp. 1557-1570. [10.1007/s11005-014-0725-y]
The nls equation in dimension one with spatially concentrated nonlinearities: the point like limit
TETA, Alessandro
2014
Abstract
We consider the nonlinear Schroedinger equation in dimension one with nonlinearity concentrated in a region around a finite number of points y_1, … ,y_n. If the region shrinks to the points, we prove that the solution converges to the solution of the nonlinear Schroedinger equation with nonlinearity concentrated in y_1, … ,y_n.File allegati a questo prodotto
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