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The Darboux coordinates for a new family of Hamiltonian operators and linearization of associated evolution equations
Hamiltonian operators bi-Hamiltonian systems evolution equations linearization
2011/1/20
A. de Sole, V. G. Kac, and M. Wakimoto have recently introduced a new family of compatible
Hamiltonian operators of the form H(N,0) = D2 ◦ ((1/u)◦D)2n ◦D, where N = 2n+3, n = 0, 1, ...
We analyze the relationship of generalized conditional symmetries of evolution equations to the formal compatibility and passivity of systems of differential equations as well as to systems of vector ...
Infinitely delayed stochastic evolution equations in UMD Banach spaces
stochastic evolution equations UMD Banach spaces
2010/11/18
We prove an existence and uniqueness result for the infinitely delayed stochastic evolution equation $$dU(t) = &\big(AU(t) + F(t,U_t)\big) dt + B(t,U_t)dW_H(t), t\in[0,T_0]$$ where $A$ is the generat...
Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators
Nonlinear Evolution Equations Locally Monotone Operators
2010/11/9
In this paper we establish the existence and uniqueness of solutions for nonlinear evolution equations on Banach space with locally monotone operators, which is a generalization of the classical resu...
Asymptotic Analysis of Singularly Perturbed Abstract Evolution Equations in Banach and Hilbert Spaces
Singular Perturbation Asymptotic Expansion Banach space semigroup evolution equation Initial Layer Corrector radiative transfer neutron transport
2010/3/1
In the current paper, we are concerned with the study of abstract linear evolution equations in Banach spaces in which the time derivative term is multiplied by a small parameter, say e. Such equation...