References
- Pederson , RN . 1958 . On the unique continuation theorem for certain second and fourth order equations . Comm. Pure Appl. Math. , 11 : 67 – 80 .
- Protter , MH . 1960 . Unique continuation for elliptic equations . Trans. Am. Math. Soc. , 95 : 81 – 91 .
- Kurata , K . 1993 . A unique continuation theorem for uniformly elliptic equations with strongly singular potentials . Commun. Part. Diff. Eqns , 18 : 1161 – 1189 .
- Cheng , J and Yamamoto , M . 1998 . Unique continuation on a line for harmonic functions . Inverse Probl. , 14 : 869 – 882 .
- Cheng , J , Ding , G and Yamamoto , M . 2002 . Uniqueness along a line for an inverse wave source problem . Commun. Partial Differ. Eqns , 27 : 2055 – 2069 .
- Cheng , J , Peng , L and Yamamoto , M . 2005 . The conditional stability in line unique continuation for a wave equation and an inverse wave source problem . Inverse Probl. , 21 : 1993 – 2007 .
- Cheng , J , Hon , YC and Yamamoto , M . 1998 . Stability in line unique continuation of harmonic functions: General dimensions . J. Inverse Ill-Posed Problems , 6 : 319 – 226 .
- Cheng , J , Yamamoto , M and Zhou , Q . 1999 . Unique continuation on a hyperplane for the wave equation . Chin. Ann. Math. B , 20 : 385 – 392 .
- Hrycak , T and Isakov , V . 2004 . Increased stability in the continuation of solutions to the Helmholtz equation . Inverse Probl. , 20 : 697 – 712 .
- Amini , S and Kirkup , SM . 1995 . Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods . J. Comp. Physics , 118 : 208 – 221 .
- Gilbarg , D and Trudinger , NS . 1983 . Elliptic Partial Differential Equations of Second Order , 2nd , Berlin : Springer .
- Russell , RD and Shampine , LF . 1972 . A collocation method for boundary value problem . Numer. Math. , 19 : 1 – 28 .
- Hansen , PC . 2007 . Regularization tools: A matlab package for analysis and solution of discrete ill-posed problems . Numer. Algorithm , 46 : 189 – 194 .