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Volumn 185, Issue 3, 2007, Pages 411-435

Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation

Author keywords

Comparison principle; Obstacle problem; Parabolic p Laplace equation

Indexed keywords


EID: 34548297898     PISSN: 03733114     EISSN: 16181891     Source Type: Journal    
DOI: 10.1007/s10231-005-0160-x     Document Type: Article
Times cited : (113)

References (13)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • Alt, H.W., Luckhaus, S.: Quasilinear elliptic-parabolic differential equations. Math. Z. 183, 311-341 (1983)
    • (1983) Math. Z , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 2
    • 0003131889 scopus 로고
    • Local behavior of solutions of quasilinear parabolic equations
    • Aronson, D.G., Serrin, J.: Local behavior of solutions of quasilinear parabolic equations. Arch. Rat. Mech. Anal. 25, 81-122 (1967)
    • (1967) Arch. Rat. Mech. Anal , vol.25 , pp. 81-122
    • Aronson, D.G.1    Serrin, J.2
  • 3
    • 0000139236 scopus 로고
    • On selfsimilar motions of compressible fluids in a porous medium (in Russian)
    • Barenblatt, G.I.: On selfsimilar motions of compressible fluids in a porous medium (in Russian). Prikl. Mat. Mekh. 16, 679-698 (1952)
    • (1952) Prikl. Mat. Mekh , vol.16 , pp. 679-698
    • Barenblatt, G.I.1
  • 4
    • 84972529374 scopus 로고
    • A regularity theory for a more general class of quasilinear parabolic partial differential equations and variational inequalities
    • Choe, H.-J.: A regularity theory for a more general class of quasilinear parabolic partial differential equations and variational inequalities. Diff. Integral. Eqn. 5, 915-944 (1992)
    • (1992) Diff. Integral. Eqn , vol.5 , pp. 915-944
    • Choe, H.-J.1
  • 6
    • 0036345277 scopus 로고    scopus 로고
    • On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation
    • Juutinen, P., Lindqvist, P., Manfredi, J.: On the equivalence of viscosity solutions and weak solutions for a quasi-linear equation. SIAM J. Math. Anal. 33, 699-717 (2001)
    • (2001) SIAM J. Math. Anal , vol.33 , pp. 699-717
    • Juutinen, P.1    Lindqvist, P.2    Manfredi, J.3
  • 7
    • 0039176442 scopus 로고    scopus 로고
    • On the Dirichlet boundary value problem for a degenerate parabolic equation
    • Kilpeläinen, T., Lindqvist, P.: On the Dirichlet boundary value problem for a degenerate parabolic equation. SIAM J. Math. Anal. 27, 661-683 (1996)
    • (1996) SIAM J. Math. Anal , vol.27 , pp. 661-683
    • Kilpeläinen, T.1    Lindqvist, P.2
  • 10
    • 36849050573 scopus 로고
    • Einführung in die Theorie parabolischer Variationsungleichungen
    • Leipzig
    • Naumann, J.: Einführung in die Theorie parabolischer Variationsungleichungen, vol. 64. Teubner-Texte zur Mathematik, Leipzig (1984)
    • (1984) Teubner-Texte zur Mathematik , vol.64
    • Naumann, J.1
  • 11
    • 0000256962 scopus 로고
    • Green functions, potentials, and the Dirichlet problem for the heat equation
    • Watson, N.A.: Green functions, potentials, and the Dirichlet problem for the heat equation. Proc. Lond. Math. Soc. 33, 251-298 (1976)
    • (1976) Proc. Lond. Math. Soc , vol.33 , pp. 251-298
    • Watson, N.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.