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We give decay estimates of the solution to the linear Schrödinger equation in dimension $$d \ge 3$$ d ≥ 3 with a small noise which is white in time and… Click to show full abstract
We give decay estimates of the solution to the linear Schrödinger equation in dimension $$d \ge 3$$ d ≥ 3 with a small noise which is white in time and colored in space. As a consequence, we also obtain certain asymptotic behaviour of the solution. The proof relies on the bootstrapping argument used by Journé–Soffer–Sogge for decay of deterministic Schrödinger operators.
Keywords:
dinger equation;
decay;
schr;
linear schr;
schr dinger
Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2018
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Journal Title: Stochastics and Partial Differential Equations: Analysis and Computations
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!