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The stability of rational approximations of analytic semigroups

✍ Scribed by M. Crouzeix; S. Larsson; S. Piskarev; V. Thomée

Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
584 KB
Volume
33
Category
Article
ISSN
0006-3835

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Let (P t ) t 0 and (P t ) t 0 be two diffusion semigroups on R d (d 2) associated with uniformly elliptic operators L={ } (A{) and L ={ } (A {) with measurable coefficients A=(a ij ) and A =(a~i j ), respectively. The corresponding diffusion kernels are denoted by p t (x, y) and p~t(x, y). We derive