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Titlebook: Differential Equations on Manifolds and Mathematical Physics; Dedicated to the Mem Vladimir M. Manuilov,Alexander S. Mishchenko,Weipi Book

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On a New Type of Periodic Fronts in Burgers Type Equations with Modular Advection,terior layer type asymptotics and a modification procedure to obtain asymptotic lower and upper solutions are proposed. By using such lower and upper solutions, we prove the existence of a periodic solution with an interior layer, estimate the accuracy of its asymptotics, and establish the asymptoti
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Mellin Operators in Weighted Corner Spaces,utions to equations in terms of regularitiy and asymptotics and also to understand their symbol structure close to the singularities. One of the ideas is to embed differential operators into suitable pseudo-differential algebras which should contain parametrices of elliptic elements. We illustrate t
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I arge-Time Decay of Solutions of the Damped Kawahara Equation on the,eneous boundary conditions. Sufficient conditions on the damping coefficient g(x) for the large-time decay of solutions in L.(R+) without any smallness assumptions on the initial data are established. In contrast to previous results, these conditions do not require the strict positivity of the damping coefficient at +∞.
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,Hochshild’s Method for Describing the Mackenzie Obstruction to Construction of a Transitive Lie Algte type and finite dimensional kernels for Lie algebras” [Amer. J. Math. . (1954), 763–778] can be applied to the special case of transitive Lie algebroids. Our task is to transfer the Hochschild construction to the case of transitive Lie algebroids and prove a similar theorem.
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Dual Linear Programming Problem and One-Dimensional Gromov Minimal Fillings of Finite Metric Spacesrogramming methods. The estimate for the multiplicity of multi-tours appearing in the weight formula for minimal fillings is improved, an alternative proof of this formula is obtained, and also explicit formulas for finite spaces consisting of 5 and 6 points are derived.
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Vladimir M. Manuilov,Alexander S. Mishchenko,WeipiDedicated to Boris Sternin.Presents a wide range of papers on PDEs and related topics.Written by experts in the field
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