Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Caveat lector: I begin by reminding you that I am not a physicist. But I want to draw attention to a well-known feature of the Schrodinger equation that I have never heard discussed and wonder at its ...

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In this paper, we consider an inhomogeneous fifth-order nonlinear Schrödinger equation from Heisenberg ferromagnetism, which describes the dynamics of a site-dependent Hisenberg ferromagnetic spin ...

In this paper we consider the local well-posedness theory for the quadratic nonlinear Schrödinger equation with low regularity initial data in the case when the nonlinearity contains derivatives. We ...

The current best accepted approach to the emergence of the classical world from the quantum world requires a fundamental shift from considering closed quantum systems that cannot lose phase ...