Coerciveness of the discontinuous initial-boundary value problem for parabolic equations

Mukhtarov O., DEMİR H.

Israel Journal of Mathematics, cilt.114, ss.239-252, 1999 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 114
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1007/bf02785580
  • Dergi Adı: Israel Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.239-252
  • Samsun Üniversitesi Adresli: Hayır

Özet

In this paper, the mixed problem for parabolic equations is investigated with the discontinuous coefficient at the highest derivative and with non-standard boundary conditions. Namely, the boundary conditions contain values of the solution not only on the boundary points, but also on the inner points of the considered domain as well. Moreover, abstract functionals are involved in the boundary conditions. We single out a class of functional spaces in which coercive solvability occurs for the investigated problem.