ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
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DOI：
10.1070/rm1964v019n03abeh001149
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发表时间：
1964-06
影响因子：
0.9
通讯作者：
M. Agranovich;M. Vishik
中科院分区：
文献类型：
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作者：
M. Agranovich;M. Vishik
第1章关于参数的椭圆边界问题。空间§2。§3中的椭圆方程。半空间中的椭圆问题§4。有界区域上的椭圆问题。先验估计§5。有界区域上的椭圆问题。存在定理§6。概括、变异、结果混合抛物问题§7。空格和§8。空格和§9。空间§10中抛物型混合问题的单值溶解度。非齐次初始条件的情况。一致性条件§11。有限时间区间的抛物问题§12。推广到系数随时间变化的情况。抛物型系统的情形。引理7.1的证明
CONTENTSIntroductionChapter I. Elliptic boundary problems depending on a parameter § 1. The space § 2. Elliptic equations in § 3. Elliptic problems in a half-space § 4. Elliptic problems in a bounded region. Apriori estimates § 5. Elliptic problems in a bounded region. Existence theorem § 6. Generalizations, variants, consequencesChapter II. Mixed parabolic problems § 7. The spaces and § 8. The spaces and § 9. Single-valued solubility of a parabolic mixed problem in the spaces § 10. The case of non-homogeneous initial conditions. Conditions of consistency § 11. Parabolic problems in a finite time interval § 12. Generalization to the case of coefficients depending on time. The case of a parabolic systemSupplement. Proof of Lemma 7.1References