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Biuletyn Wojskowej Akademii Technicznej
PL W pracy podano przykłady rowiązań pewnego równania cząstkowego z osobliwościami na {x ² = y ³} ⊂ R³.
EN Examples of solutions to a partial differential equation with singularities exactly on cusp {x ² = y ³} ⊂ R³ are given.
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Demonstratio Mathematica
EN Planar portraits are geometric representations of smooth manifolds defined by their generic maps into the plane. A simple subclass called the polygonal portraits is introduced, their realisations, and relations of their shapes to the topology of source manifolds are discussed. Generalisations and an[...]
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Bulletin of the Polish Academy of Sciences. Mathematics
EN The paper deals with local solutions to the equation ([...]u = f (x, y, z, u, Du) for which the cusp [x^z = y^3] is characteristic (Du = grad u). A regularity theorem in Gevrey class is proved.
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