Data di Pubblicazione:
2020
Citazione:
The geometry of differential constraints for a class of evolution PDEs / F.C. De Vecchi, P. Morando. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 156(2020), pp. 103771.1-103771.23. [10.1016/j.geomphys.2020.103771]
Abstract:
The problem of computing differential constraints for a family of evolution PDEs is discussed from a constructive point of view. A new method, based on the existence of generalized characteristics for evolution vector fields, is proposed in order to obtain explicit differential constraints for PDEs belonging to this family. Several examples, with applications in non-linear stochastic filtering theory, stochastic perturbation of soliton equations and non-isospectral integrable systems, are discussed in detail to verify the effectiveness of the method.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Differential constraints; Partial differential equations; Characteristics
Elenco autori:
F.C. De Vecchi, P. Morando
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