We consider the renormalized square of the solution of the stochastic heat equation and obtain for this process a new dynamic involving the second quantization of an unbounded operator. This is achieved by a version of the Itô formula which we derive by a simple application of the Wick chain rule
LANCONELLI A (2009). A remark on the renormalized square of the solution of the stochastic heat equation and on its associated evolution. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 12(3), 497-502 [10.1142/S0219025709003811].
A remark on the renormalized square of the solution of the stochastic heat equation and on its associated evolution
LANCONELLI A
Investigation
2009
Abstract
We consider the renormalized square of the solution of the stochastic heat equation and obtain for this process a new dynamic involving the second quantization of an unbounded operator. This is achieved by a version of the Itô formula which we derive by a simple application of the Wick chain ruleFile in questo prodotto:
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