study this problem. Dirichlet boundary condition Neumann boundary condition Cauchy boundary condition Robin boundary condition Obviously, it is not at all...

polynomials; or locally square-integrable solutions to the n-dimensional Cauchy–Riemann equations. For one complex variable, every domain( D ⊂ C {\displaystyle...

analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge., vol. 19, Berlin, New York: Springer-Verlag, ISBN 978-0-387-03123-1, MR 0094466...

the theory of elastic after effects], Annalen der Physik und Chemie, Neue Folge (in German), Suppl. Band VII: 624–655, JFM 08.0639.01. Boltzmann, Ludwig...

product, which maps two vectors to a scalar. A more complex example is the Cauchy stress tensor T, which takes a directional unit vector v as input and maps...

mathematical research. Thus there came about the research for "Le problème de Cauchy pour les équations différentielles d'un fluide général"; the idea that Prof...

in the paper (Conway & Smoller 1966), proving that the solution of the Cauchy problem for such equations is a function of bounded variation, provided...

Champs algébriques, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related...

is clear that he knew the "fundamental theorem of complex analysis" – Cauchy's integral theorem – and understood the notion of complex residues when integrating...

1935 prize of the Annali della Reale Scuola Normale Superiore di Pisa. Cauchy principal value Potential theory Singular integral According to the brief...