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In this note we obtain a unique continuation result for the differential inequality |∂u| ≤ |V u|, where ∂ = (i∂y + ∂x)/2 denotes the Cauchy-Riemann operator and V (x, y) is a function in L2(R2).
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참고문헌 (10)
참고문헌 신청
C. E. Kenig / 1989 / Restriction theorems, Carleman estimates, uniform Sobolev inequalities and unique continuations, Harmonic analysis and partial differential equations (El
C. E. Kenig / 2000 / A counterexample in unique continuation / Math. Res. Lett 7 (5-6) : 625 ~ 630
C. E. Kenig / 2015 / Quantitative uniqueness estimates for second order elliptic equations with unbounded drift / Math. Res. Lett 22 (4) : 1159 ~ 1175
D. Jerison / 1985 / Unique continuation and absence of positive eigenvalues for Schr¨odinger operators / Ann. of Math 121 (3) : 463 ~ 494
H. Koch / 2002 / Sharp counterexamples in unique continuation for second order elliptic equations / J. Reine Angew. Math 542 : 133 ~ 146
C. E. Kenig / 2000 / A counterexample in unique continuation / Math. Res. Lett 7 (5-6) : 625 ~ 630
C. E. Kenig / 2015 / Quantitative uniqueness estimates for second order elliptic equations with unbounded drift / Math. Res. Lett 22 (4) : 1159 ~ 1175
D. Jerison / 1985 / Unique continuation and absence of positive eigenvalues for Schr¨odinger operators / Ann. of Math 121 (3) : 463 ~ 494
H. Koch / 2002 / Sharp counterexamples in unique continuation for second order elliptic equations / J. Reine Angew. Math 542 : 133 ~ 146
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