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For example, a maximal embedded collection of tori in an irreducible manifold is complete as each of the component manifolds is indecomposable (any additional surface would have to

The key point is the concept of a Hamiltonian system, which, contrary to the usual approach, is not re- lated with a single Lagrangian, but rather with an Euler–Lagrange form

Ulrich : Cycloaddition Reactions of Heterocumulenes 1967 Academic Press, New York, 84 J.L.. Prossel,

In section 2 we present the model in its original form and establish an equivalent formulation using boundary integrals. This is then used to devise a semi-implicit algorithm

Kilbas; Conditions of the existence of a classical solution of a Cauchy type problem for the diffusion equation with the Riemann-Liouville partial derivative, Differential Equations,

Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A

To derive a weak formulation of (1.1)–(1.8), we first assume that the functions v, p, θ and c are a classical solution of our problem. 33]) and substitute the Neumann boundary

Besides the number of blow-up points for the numerical solutions, it is worth mentioning that Groisman also proved that the blow-up rate for his numerical solution is