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math-ph2012★ 14 cited
The initial value problem for ordinary differential equations with infinitely many derivatives
Przemyslaw Gorka, Humberto Prado, Enrique G. Reyes
We study existence, uniqueness and regularity of solutions for ordinary differential equations with infinitely many derivatives such as (linearized versions of) nonlocal field equa…
math-ph2007★ 1 cited
Growth of polyhedral crystals from supersaturated vapor
Przemyslaw Gorka
We examine the growth of crystals from vapor. We assume that the Wulff shape is a prism with a hexagonal base. The Gibbs-Thomson correction on the crystal surface is included in th…