Equivalence and symmetries for variable coefficient linear heat type equations. II. Fundamental solutions

Gungor F.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.59, sa.6, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 59 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1063/1.5003466
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We present a comparative study of fundamental solutions (heat kernels) of variable coefficient heat type partial differential equations based on Lie symmetry group methods and equivalence transformations discussed in the work of Gungor [J. Math. Phys. 59, 051507 (2018)]. Applications will include both one-and two-dimensional equations. Published by AIP Publishing.