Gaussian estimates and instantaneous blowup
Positivity, cilt.12, sa.1, ss.75-82, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 12 Sayı: 1
- Basım Tarihi: 2008
- Doi Numarası: 10.1007/s11117-007-2105-7
- Dergi Adı: Positivity
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.75-82
- Anahtar Kelimeler: Gaussian estimates, Heat equation, Instantaneous blowup, Non-symmetric elliptic operator, Singular potential
- İstanbul Ticaret Üniversitesi Adresli: Evet
Özet
For L a second order linear elliptic differential operator on ℝN, one is usually interested in finding positive solutions of the heat equation u\t = Lu+Vu, where V is a nonnegative potential. But for L the Laplacian, it was discovered by [BG] in 1984 that positive solutions may not exist if V is too singular. We use Gaussian estimates to extend this result to the case when L is not symmetric. © 2007 Birkhäuser Verlag Basel/Switzerland.