The sequential estimation of the states of a process described by a set of nonlinear hyperbolic or parabolic partial differential equations subject to both stochastic input disturbances and measurement errors is considered. A functional partial differential equation of Hamilton-Jacobi type is derive
A microscopic convexity principle for nonlinear partial differential equations
β Scribed by Baojun Bian; Pengfei Guan
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 566 KB
- Volume
- 177
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
Variational principles for generalized Korteweg-de Vries equation and nonlinear Schrβ¬ o odingerΓs equation are obtained by the semi-inverse method. The most interesting features of the proposed method are its extreme simplicity and concise forms of variational functionals for a wide range of nonline
In the introduction we give a short survey on known results concerning local solvability for nonlinear partial differential equations; the next sections will be then devoted to the proof of a new result in the same direction. Specifically we study the semilinear operator \(F(u)=P(D) u+f\left(x, Q_{1