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Volumn 34, Issue 1, 1998, Pages 113-142

Monotone method for diffusion equations with nonlinear diffusion coefficients

Author keywords

Blow up; Diffusion equations with nonlinear diffusion coefficients; Existence and uniqueness of solution; Global solution; Monotone iterative method; Quasilinear elliptic equations; Quasilinear parabolic equations

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; CALCULATIONS; FUNCTIONS; ITERATIVE METHODS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0032187839     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00679-2     Document Type: Article
Times cited : (19)

References (19)
  • 1
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    • H. Amann, On the existence of positive solutions of nonlinear elliptic boundary value problems, Ind. U. Math. J. 21 (1971), 125-146.
    • (1971) Ind. U. Math. J. , vol.21 , pp. 125-146
    • Amann, H.1
  • 2
    • 0000621668 scopus 로고
    • Existence of multiplicity theorems for semilinear elliptic boundary value problems
    • H. Amann, Existence of multiplicity theorems for semilinear elliptic boundary value problems, Math. Z. 150 (1976) 281-295.
    • (1976) Math. Z. , vol.150 , pp. 281-295
    • Amann, H.1
  • 3
    • 0347440457 scopus 로고
    • A priori estimates for elliptic and parabolic equations
    • Proc. Symp. Pure Math. IV
    • F.E. Browder, A priori estimates for elliptic and parabolic equations, Partial Differential Equations, Proc. Symp. Pure Math. IV (1961) 73-81.
    • (1961) Partial Differential Equations , pp. 73-81
    • Browder, F.E.1
  • 4
    • 0040641483 scopus 로고
    • Zero order a priori estimates for solutions of elliptic differential equations
    • Proc. Symp. Pure Math. IV
    • H.O. Cordes, Zero order a priori estimates for solutions of elliptic differential equations, Partial Differential Equations, Proc. Symp. Pure Math. IV (1961) 157-165.
    • (1961) Partial Differential Equations , pp. 157-165
    • Cordes, H.O.1
  • 11
    • 84972577596 scopus 로고
    • On principally linear elliptic differential elliptic equations of the second order
    • M. Nagumo, On principally linear elliptic differential elliptic equations of the second order, Osaka Math. J. 6 (1954) 207-229.
    • (1954) Osaka Math. J. , vol.6 , pp. 207-229
    • Nagumo, M.1
  • 13
    • 0001314482 scopus 로고
    • Monotone methods in nonlinear elliptic and parabolic equations
    • D. Sattinger, Monotone methods in nonlinear elliptic and parabolic equations, Ind. U. Math. J. 21 (1972) 979-1000.
    • (1972) Ind. U. Math. J. , vol.21 , pp. 979-1000
    • Sattinger, D.1
  • 18
    • 21344481145 scopus 로고
    • Global existence and blow-up problems for quasilinear parabolic equations with nonlinear boundary conditions
    • M. Wang, Y. Wu, Global existence and blow-up problems for quasilinear parabolic equations with nonlinear boundary conditions, SIAM J. Math. Anal. 24 (6) (1993) 1515-1521.
    • (1993) SIAM J. Math. Anal. , vol.24 , Issue.6 , pp. 1515-1521
    • Wang, M.1    Wu, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.