A single integral identity is established from which conservation laws for nonlinear Schrödinger equations follow systematically via Duhamel form and Strichartz estimates.
Strichartz,Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations, Duke Math
2 Pith papers cite this work. Polarity classification is still indexing.
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Establishes large-data L²-decay for attractive-dissipative NLS in Σ for 1<p≤1+2/d via augmented energy, removing the p≤1+4/(3d) restriction.
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A Unified Integral Equation Approach to Conservation Laws for Nonlinear Schr\"odinger Equations
A single integral identity is established from which conservation laws for nonlinear Schrödinger equations follow systematically via Duhamel form and Strichartz estimates.
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Large-data $L^2$-decay for attractive-dissipative nonlinear Schr\"odinger equations without the strong dissipative condition
Establishes large-data L²-decay for attractive-dissipative NLS in Σ for 1<p≤1+2/d via augmented energy, removing the p≤1+4/(3d) restriction.