Increased Stability in the Cauchy Problem for Some Elliptic Equations

2007 ◽  
pp. 339-362 ◽  
Author(s):  
Victor Isakov
Keyword(s):  
Cauchy Problem ◽  
Elliptic Equations ◽  
The Cauchy Problem

scholarly journals An iterative method for the Cauchy problem for second-order elliptic equations

2018 ◽  
Vol 142-143 ◽  
pp. 216-223 ◽  
Author(s):  
George Baravdish ◽  
Ihor Borachok ◽  
Roman Chapko ◽  
B. Tomas Johansson ◽  
Marián Slodička
Keyword(s):  
Cauchy Problem ◽  
Iterative Method ◽  
Elliptic Equations ◽  
Second Order ◽  
The Cauchy Problem ◽  
Second Order Elliptic Equations

scholarly journals On the Cauchy problem for semilinear elliptic equations

2016 ◽  
Vol 24 (2) ◽  
Author(s):  
Nguyen Huy Tuan ◽  
Tran Thanh Binh ◽  
Tran Quoc Viet ◽  
Daniel Lesnic
Keyword(s):  
Cauchy Problem ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Hilbert Spaces ◽  
Elliptic Equations ◽  
Elliptic Partial Differential Equations ◽  
Semilinear Elliptic Equations ◽  
Semilinear Elliptic ◽  
The Cauchy Problem ◽  
Ill Posed

AbstractWe study the Cauchy problem for nonlinear (semilinear) elliptic partial differential equations in Hilbert spaces. The problem is severely ill-posed in the sense of Hadamard. Under a weak

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