@article{ASNSP_2000_4_29_4_731_0, author = {Buonocore, Pasquale and Manselli, Paolo}, title = {Nonunique continuation for plane uniformly elliptic equations in {Sobolev} spaces}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {731--754}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 29}, number = {4}, year = {2000}, mrnumber = {1822406}, zbl = {1072.35049}, language = {en}, url = {http://www.numdam.org/item/ASNSP_2000_4_29_4_731_0/} }
TY - JOUR AU - Buonocore, Pasquale AU - Manselli, Paolo TI - Nonunique continuation for plane uniformly elliptic equations in Sobolev spaces JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2000 SP - 731 EP - 754 VL - 29 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_2000_4_29_4_731_0/ LA - en ID - ASNSP_2000_4_29_4_731_0 ER -
%0 Journal Article %A Buonocore, Pasquale %A Manselli, Paolo %T Nonunique continuation for plane uniformly elliptic equations in Sobolev spaces %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2000 %P 731-754 %V 29 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_2000_4_29_4_731_0/ %G en %F ASNSP_2000_4_29_4_731_0
Buonocore, Pasquale; Manselli, Paolo. Nonunique continuation for plane uniformly elliptic equations in Sobolev spaces. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 29 (2000) no. 4, pp. 731-754. http://www.numdam.org/item/ASNSP_2000_4_29_4_731_0/
[1] Elliptic equations in divergence form, geometric critical ponts of solutions and Stekloff eigenfunctions, SIAM J. Math. Anal. (1994), 1259-1268. | MR | Zbl
- ,[2] Partial Differential Equations", Interscience, 1964. | MR | Zbl
- - , "[3] On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications, In: Atti del Convegno Internazionale sulle equazioni a derivate parziali, Trieste, 1954, 111-140. | MR | Zbl
- ,[4] Methods of Mathematical Physics", Interscience, 1962. | Zbl
- , "[5] On isolated singularities of solutions of second order elliptic equations, J. Anal. Math. 4 (1955-56), 309-340. | MR | Zbl
- ,[6] "Linear partial differential operators", Springer, 1964. | MR
,[7] Uniqueness theorems for second order elliptic differential equations, Comm. Partial Differential Equations (1) 8 (1983), 21-64. | MR | Zbl
,[8] Non Unique Continuation for Uniformly Parabolic and Elliptic Equations in Self-Adjoint Divergence Form with Hölder Continuous Coefficients, Arch. Rational Mech. Anal. vol. 4 n. 2 (1974), 105-117. | MR | Zbl
,[9] Partial Differential Equations of Elliptic Type", Springer, 1970. | MR | Zbl
, "[10] On Non-Uniqueness in Cauchy Problem for an Elliptic Second Order Differential Equation, Bull. Acad. Pol. Sci., S. mat., vol. XI, n. 3 (1963), 95-100. | MR | Zbl
,[11] Un problema variazionale per i coefficienti di equazioni differenziali di tipo ellittico, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. XVI (1962), 159-172. | Numdam | MR | Zbl
,[12] Unimprovability of estimates of Hölder constants for solutions of linear elliptic equations with measurable coefficients, Math. USSR Sbornik (60) (1988), 269-281. | MR | Zbl
,[13] On the unique continuation property of elliptic divergence form equations in the plane, Math. Z. 228 (1998), 201-206. | MR | Zbl
,