Evolution Equations Associated with Recursively Defined Bernstein-Type Operators
β Scribed by Michele Campiti; Giorgio Metafune
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 988 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
β¦ Synopsis
We continue the study of the generalization of Bernstein operators introduced previously, obtained by requiring suitable recursive relations on the binomial-type coefficients. We show that these operators can be used to approximate the solutions of some degenerate second order parabolic problems.
π SIMILAR VOLUMES
we prove the existence and uniqueness of a weak solution of a semilinear wave equation involving Bessel's operator, the nonlinear term being in the form f(r, t, u, VU), while the boundary condition at r = 0 takes the weak form lim,,e+ j&%,(r, t)l < 03. In the proof, the Faedo-Galerkin method associa
## Abstract The notion of semigroups of Lipschitz operators associated with abstract quasilinear evolution equations is introduced and a product formula for such semigroups is established. The product formula obtained in the paper is applied to the solvability of the Cauchy problem for a first orde