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초록· 키워드
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Interface problem here refers to a second order elliptic problem with a discontinuous coefficient for the second order derivatives. For the corresponding boundary value problem, the maximum principle still holds but Hopf's boundary point lemma may fail. We will give an optimal power type estimate that replaces Hopf's lemma at those boundary points, where this coefficient jumps.
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참고문헌 (17)
참고문헌 신청
D. Gilbarg / 1983 / Elliptic partial differential equations of second order / Springer-Verlag
D. Mercier / 2003 / Minimal regularity of the solutions of some transmission problems / Math. Methos Appl. Sci 26 (4) : 321 ~ 348
E. Hopf / 1952 / A remark on linear elliptic differential equations of second order / Proc. Amer. Math. Soc 3 : 791 ~ 793
L. E. Fraenkel / 2000 / An introduction to maximum principles and symmetry in elliptic prob-lems / Cambridge University Press
M. Beygmohammadi / 2015 / Hopf's Type Estimates near Singular Boundary Points / Universitat zu Koln
D. Mercier / 2003 / Minimal regularity of the solutions of some transmission problems / Math. Methos Appl. Sci 26 (4) : 321 ~ 348
E. Hopf / 1952 / A remark on linear elliptic differential equations of second order / Proc. Amer. Math. Soc 3 : 791 ~ 793
L. E. Fraenkel / 2000 / An introduction to maximum principles and symmetry in elliptic prob-lems / Cambridge University Press
M. Beygmohammadi / 2015 / Hopf's Type Estimates near Singular Boundary Points / Universitat zu Koln
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