Carleman estimates and unique continuation property for abstract elliptic equations

被引：0

作者：

Shakhmurov, Veli B. ^{[1
]}

机构：

[1] Okan Univ, Dept Elect Engn & Commun, TR-34959 Istanbul, Turkey

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

Carleman estimates; unique continuation; embedding theorems; Banach-valued function spaces; differential operator equations; maximal L-p-regularity; operator-valued Fourier multipliers; interpolation of Banach spaces; BOUNDARY-VALUE-PROBLEMS; OPERATORS; INEQUALITIES; THEOREMS; SPACES;

D O I：

10.1186/1687-2770-2012-46

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The unique continuation theorems for elliptic differential-operator equations with variable coefficients in vector-valued L (p) -space are investigated. The operator-valued multiplier theorems, maximal regularity properties and the Carleman estimates for the equations are employed to obtain these results. In applications the unique continuation theorems for quasielliptic partial differential equations and finite or infinite systems of elliptic equations are studied. AMS: 34G10; 35B45; 35B60.

引用

页数：25

共 37 条

[1]

Amann H, 1995, LINEAR QUASI LINEAR

[2]

[Anonymous], 1964, PUBL MATH I, DOI 10.1007/BF02684796

[3] On well-posedness of the nonlocal boundary value problems for elliptic equations [J].

Ashyralyev, A .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2003, 24 (1-2) :1-15

[4]

AUBIN JP, 1970, REND SEM PADOVA, V43, P1

[5]

Besov OV., 1975, Integral Representations of Functions and Imbedding Theorems

[6] SOME REMARKS ON BANACH-SPACES IN WHICH MARTINGALE DIFFERENCE-SEQUENCES ARE UNCONDITIONAL [J].

BOURGAIN, J .

ARKIV FOR MATEMATIK, 1983, 21 (02) :163-168

[7]

Burkholder D.L., 1983, P C HARM AN HON A ZY, P270

[8] OSCILLATORY INTEGRALS AND A MULTIPLIER PROBLEM FOR DISK [J].

CARLESON, L ;

SJOLIN, P .

STUDIA MATHEMATICA, 1972, 44 (03) :287-&

[9]

Clément P, 2000, STUD MATH, V138, P135

[10]

Denk R, 2003, MEM AM MATH SOC, V166, P1

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