New Examples of Irreducible Local Diffusion of Hyperbolic PDE's

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Vassiliev, Victor A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210601
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: New Examples of Irreducible Local Diffusion of Hyperbolic PDE's. Victor A. Vassiliev. SIGMA 16 (2020), 009, 21 pages

Local diffusion of strictly hyperbolic higher-order PDE's with constant coefficients at all simple singularities of corresponding wavefronts can be explained and recognized by only two local geometrical features of these wavefronts. We radically disprove the obvious conjecture extending this fa...