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Zbl 0699.35053
Kneser estimates for the coefficients of elliptic equations.
(English. Russian original)
[J] Sov. Math., Dokl. 36, No.1, 101-103 (1987); translation from Dokl. Akad. Nauk SSSR 295, 556-548 (1987). ISSN 0197-6788

The first author [Vestn. Mosk. Univ., Ser. XV 1983, No.3, 8-13 (1983; Zbl 0527.35008); English translation in Mosc. Univ. Comput. Math. Cybernetics 7 (1983)] considered the elliptic equation $$(1)\quad (- 1)\sp m\sum\sb{\vert \alpha \vert =\vert \beta \vert =m}D\sp{\alpha}a\sb{\alpha \beta}(x)D\sp{\beta}u+a(x)u=0$$ and gave Kneser type estimates for its coefficients. In this paper new exact Kneser type estimates are provided. Such estimates were not known before, even in the case $n=1$.
[J.H.Tian]
MSC 2000:
*35J15 Second order elliptic equations, general
35B05 General behavior of solutions of PDE

Keywords: Sobolev space; Kneser type estimates

Citations: Zbl 0527.35008

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