A MESHLESS SCHEME FOR SOLVING INVERSE PROBLEMS OF LAPLACE EQUATION

2003 ◽  
Author(s):  
Y.C. HON ◽  
T. WEI
Keyword(s):  
Inverse Problems ◽  
Laplace Equation

scholarly journals Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Ru-Yu Lai ◽  
Laurel Ohm
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Laplace Equation ◽  
Lower Order ◽  
Direct Problem ◽  
Nonlinear Perturbations ◽  
Well Posed ◽  
Lower Order Terms

<p style='text-indent:20px;'>We study the inverse problem for the fractional Laplace equation with multiple nonlinear lower order terms. We show that the direct problem is well-posed and the inverse problem is uniquely solvable. More specifically, the unknown nonlinearities can be uniquely determined from exterior measurements under suitable settings.</p>

INVERSE PROBLEMS OF IMMUNOLOGY AND EPIDEMIOLOGY

2017 ◽  
Vol 5 (2) ◽  
pp. 14-35
Author(s):  
S.I. Kabanikhin ◽  
◽  
O.I. Krivorotko ◽  
D.V. Ermolenko ◽  
V.N. Kashtanova ◽  
...  
Keyword(s):  
Inverse Problems
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