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Our aim in this article is to derive an existence theorem of inertial manifolds for fairly general equations with a self-adjoint or nonself-adjoint linear operator in a Banach space setting. A sharp form of the spectral gap condition is given. Many other properties are proven including an...
We describe the structure and the correspondence between contact symmetries and conservation laws for second-order differential equations associated with contact geometry. The construction of the Hugoniot-Rankine conditions on discontinuous solutions (shock waves) in natural terms of symbols and...
This is the first in a series of papers dedicated to the structure of Chevalley groups over commutative rings. The goal of this series is to systematically develop methods of calculations in Chevalley groups over rings, based on the use of their minimal modules. As an application, we give new...
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