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On the Approximation of Nonlinear Evolution Equations in Particular C*-Algebras of Operators
Nonlinear Evolution Equations Particular C*-algebras Discretizable Hilbert spaces
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2011/2/25
In this article we deal with the approximation of solutions of non-linear evolution equations of the form A(u(t))+f(u(t)) = u′(t), the numerical analysis of solutions to this problems will be performe...
Symmetry classification of third-order nonlinear evolution equations. Part I: Semi-simple algebras
Exactly Solvable and Integrable Systems(nlin.SI) Mathematical Physics(math-ph)
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2010/11/10
We give a complete point-symmetry classification of all third-order evolution equations of the form $u_t=F(t,x,u,u_x, u_{xx})u_{xxx}+G(t,x,u,u_x, u_{xx})$ which admit semi-simple symmetry algebras and...
Existence and Uniqueness of Solutions to Nonlinear Evolution Equations with Locally Monotone Operators
Nonlinear Evolution Equations Locally Monotone Operators
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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...
Convergence to Diffusion Waves for Nonlinear Evolution Equations with Ellipticity and Damping, and with Different End States
evolution equations diffusion waves decay rate energy method a priori estimates
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2007/12/11
In this paper, we consider the global existence and the asymptotic behavior of solutions to the Cauchy problem for the following nonlinear evolution equations with ellipticity and dissipative effects:...