Limit Behaviour of Solutions to a Class of Equivalued Surface Boundary Value Problems for Parabolic Equations

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Volume 13, Issue 2

Fengquan Li

J. Part. Diff. Eq., 13 (2000), pp. 111-122.

Published online: 2000-05

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Abstract

In this paper, we discuss the limit behaviour of solutions for a class of equivalued surface boundary value problems for parabolic equations. When the equivalued surface boundary \overline{\Gamma}^\varepsilon_1 shrinks to a fixed point on boundary \Gamma_1, only homogeneous Neumann boundary conditions or Neumann boundary conditions with Dirac function appear on \Gamma_1.

Keywords

Parabolic equations equivalued surface limit behaviour Dirac function

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@Article{JPDE-13-111, author = {Fengquan Li }, title = {Limit Behaviour of Solutions to a Class of Equivalued Surface Boundary Value Problems for Parabolic Equations}, journal = {Journal of Partial Differential Equations}, year = {2000}, volume = {13}, number = {2}, pages = {111--122}, abstract = { In this paper, we discuss the limit behaviour of solutions for a class of equivalued surface boundary value problems for parabolic equations. When the equivalued surface boundary \overline{\Gamma}^\varepsilon_1 shrinks to a fixed point on boundary \Gamma_1, only homogeneous Neumann boundary conditions or Neumann boundary conditions with Dirac function appear on \Gamma_1.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5500.html} }

TY - JOUR T1 - Limit Behaviour of Solutions to a Class of Equivalued Surface Boundary Value Problems for Parabolic Equations AU - Fengquan Li JO - Journal of Partial Differential Equations VL - 2 SP - 111 EP - 122 PY - 2000 DA - 2000/05 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5500.html KW - Parabolic equations KW - equivalued surface KW - limit behaviour KW - Dirac function AB - In this paper, we discuss the limit behaviour of solutions for a class of equivalued surface boundary value problems for parabolic equations. When the equivalued surface boundary \overline{\Gamma}^\varepsilon_1 shrinks to a fixed point on boundary \Gamma_1, only homogeneous Neumann boundary conditions or Neumann boundary conditions with Dirac function appear on \Gamma_1.

Fengquan Li . (2000). Limit Behaviour of Solutions to a Class of Equivalued Surface Boundary Value Problems for Parabolic Equations. Journal of Partial Differential Equations. 13 (2). 111-122. doi:

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