Iterative grid methods for singularly perturbed elliptic equations degenerating into zero-order ones

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1993.8.4.341 ◽

1993 ◽

Vol 8 (4) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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Grid approximation of singularly perturbed elliptic equations in case of limit zero-order equations degenerating at the boundary

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1990.5.6.523 ◽

1990 ◽

Vol 5 (6) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed ◽

Grid Approximation

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Singularly perturbed elliptic equations with solutions concentrating on a 1-dimensional orbit

Journal of the European Mathematical Society ◽

10.4171/jems/203 ◽

2010 ◽

pp. 413-427 ◽

Author(s):

Bernhard Ruf ◽

P.N. Srikanth

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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Singularly perturbed elliptic equations with symmetry: Existence of solutions concentrating on spheres, Part II

Indiana University Mathematics Journal ◽

10.1512/iumj.2004.53.2400 ◽

2004 ◽

Vol 53 (2) ◽

pp. 297-330 ◽

Author(s):

Antonio Ambrosetti ◽

Andrea Malchiodi ◽

Wei-Ming Ni

Keyword(s):

Elliptic Equations ◽

Existence Of Solutions ◽

Singularly Perturbed

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Projector approach for constructing the zero order asymptotic solution for the singularly perturbed linear-quadratic control problem in a critical case

10.1063/1.5049067 ◽

2018 ◽

Author(s):

Galina A. Kurina ◽

Nguyen Thi Hoai

Keyword(s):

Asymptotic Solution ◽

Control Problem ◽

Critical Case ◽

Singularly Perturbed ◽

Linear Quadratic Control ◽

Linear Quadratic ◽

Linear Quadratic Control Problem

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Some recent results about a class of singularly perturbed elliptic equations

CRM Proceedings and Lecture Notes - Singularities in PDE and the Calculus of Variations ◽

10.1090/crmp/044/10 ◽

2008 ◽

pp. 153-164

Author(s):

Andrea Malchiodi

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed

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Zero‐order asymptotic solution of a class of singularly perturbed linear‐quadratic problems with weak controls in a critical case

Optimal Control Applications and Methods ◽

10.1002/oca.2514 ◽

2019 ◽

Vol 40 (5) ◽

pp. 859-879

Author(s):

Galina Kurina ◽

Nguyen Thi Hoai

Keyword(s):

Asymptotic Solution ◽

Critical Case ◽

Singularly Perturbed ◽

Linear Quadratic

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THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30674-4 ◽

1997 ◽

Vol 17 (1) ◽

pp. 44-50 ◽

Author(s):

Jiaqi Mo ◽

Yuxing Xu

Keyword(s):

Boundary Value Problems ◽

Elliptic Equations ◽

Boundary Value ◽

Higher Order ◽

Semilinear Elliptic Equations ◽

Singularly Perturbed ◽

Semilinear Elliptic

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Concentrating solutions of some singularly perturbed elliptic equations

Frontiers of Mathematics in China ◽

10.1007/s11464-008-0015-z ◽

2008 ◽

Vol 3 (2) ◽

pp. 239-252 ◽

Author(s):

Andrea Malchiodi

Keyword(s):

Elliptic Equations ◽

Singularly Perturbed ◽

Concentrating Solutions

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A posteriori piecewise uniform grids for singularly perturbed elliptic equations of a reaction-diffusion type

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1998.13.5.411 ◽

1998 ◽

Vol 13 (5) ◽

Author(s):

G. I. SHISHKIN

Keyword(s):

Elliptic Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

A Posteriori ◽

Diffusion Type ◽

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Robin and Neumann problems for a class of singularly perturbed semilinear elliptic equations

Journal of Differential Equations ◽

10.1016/0022-0396(79)90017-2 ◽

1979 ◽

Vol 34 (1) ◽

pp. 55-73 ◽

Author(s):

F.A Howes

Keyword(s):

Elliptic Equations ◽

Semilinear Elliptic Equations ◽

Singularly Perturbed ◽

Neumann Problems ◽

Semilinear Elliptic

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