메뉴 건너뛰기




Volumn 50, Issue 4, 2001, Pages 1899-1912

Global solvability for a class of quasilinear parabolic problems

Author keywords

A priori estimates; Bernstein's condition; Parabolic problems

Indexed keywords


EID: 0039248860     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2001.50.2067     Document Type: Article
Times cited : (11)

References (17)
  • 3
    • 0001358269 scopus 로고
    • The problem of dirichlet for quasilinear elliptic differential equations with many independent variables
    • J. SERRIN, The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Philos. Trans. Roy. Soc. London Ser. A 264 (1969), 413-496.
    • (1969) Philos. Trans. Roy. Soc. London Ser. A , vol.264 , pp. 413-496
    • Serrin, J.1
  • 4
    • 0039380954 scopus 로고
    • Quasilinear parabolic equations and systems with two independent variables
    • Russian
    • S.N. KRUZHKOV, Quasilinear parabolic equations and systems with two independent variables, Trudy Sem. Petrovsk. 5 (1979), 217-272 (Russian); Topics in Modern Math., Consultant Bureau, New York, 1985 (English translation).
    • (1979) Trudy Sem. Petrovsk. , vol.5 , pp. 217-272
    • Kruzhkov, S.N.1
  • 5
    • 0039911448 scopus 로고
    • Consultant Bureau, New York, (English translation)
    • S.N. KRUZHKOV, Quasilinear parabolic equations and systems with two independent variables, Trudy Sem. Petrovsk. 5 (1979), 217-272 (Russian); Topics in Modern Math., Consultant Bureau, New York, 1985 (English translation).
    • (1985) Topics in Modern Math.
  • 6
    • 0040719174 scopus 로고
    • On the equations of calculus of variation
    • T.3, (Russian)
    • S.N. BERNSTEIN, On the equations of calculus of variation, Sobr. soch. M.: Izd-vo AN SSSR (1960) T.3, p. 191-242 (Russian).
    • (1960) Sobr. Soch. M.: Izd-vo AN SSSR , pp. 191-242
    • Bernstein, S.N.1
  • 7
    • 84972499994 scopus 로고
    • Derivative blow-up and beyond for quasilinear parabolic equations
    • M. FILA & G. LIEBERMAN, Derivative blow-up and beyond for quasilinear parabolic equations, Diff. and Integral Equations 7 (1994), 811-822.
    • (1994) Diff. and Integral Equations , vol.7 , pp. 811-822
    • Fila, M.1    Lieberman, G.2
  • 8
    • 0040125300 scopus 로고
    • Behavior of solutions to parabolic equations for large time value
    • M.P. VISHNEVSKII, T.I. ZELENYAK & M.M. LAVRENTIEV JR., Behavior of solutions to parabolic equations for large time value, Sib. Math. J. 36 (1995), 435-453.
    • (1995) Sib. Math. J. , vol.36 , pp. 435-453
    • Vishnevskii, M.P.1    Zelenyak, T.I.2    Lavrentiev M.M., Jr.3
  • 9
    • 0010960817 scopus 로고    scopus 로고
    • Interior gradient blow-up in a semilinear parabolic equation
    • S. ANGENENT & M. FILA, Interior gradient blow-up in a semilinear parabolic equation, Diff. and Integral Equations 9 (1996), 865-877.
    • (1996) Diff. and Integral Equations , vol.9 , pp. 865-877
    • Angenent, S.1    Fila, M.2
  • 10
    • 0040719134 scopus 로고
    • Interior blow-up for quasilinear parabolic equations
    • Y. GIGA, Interior blow-up for quasilinear parabolic equations, Discrete and Continuous Dynamical Systems 1 (1995), 449-461.
    • (1995) Discrete and Continuous Dynamical Systems , vol.1 , pp. 449-461
    • Giga, Y.1
  • 11
    • 0041134164 scopus 로고
    • Apriori estimates and global solvability of quasilinear parabolic equations
    • V. L. KAMYNIN, Apriori estimates and global solvability of quasilinear parabolic equations, Moscow Univ. Math. Bull. 36 (1981), 38-43.
    • (1981) Moscow Univ. Math. Bull. , vol.36 , pp. 38-43
    • Kamynin, V.L.1
  • 12
    • 0041172355 scopus 로고
    • On conditions for the boundedness of the gradient of solutions of degenerated parabolic equations
    • Russian
    • N.V. KHUSNUTDINOVA, On conditions for the boundedness of the gradient of solutions of degenerated parabolic equations, Dinamika Sploshnoi Sredy 72 (1985), 120-128 (Russian).
    • (1985) Dinamika Sploshnoi Sredy , vol.72 , pp. 120-128
    • Khusnutdinova, N.V.1
  • 13
    • 0011296757 scopus 로고    scopus 로고
    • On quasilinear non-uniformly parabolic equations in general form
    • A.S. TERSENOV, On quasilinear non-uniformly parabolic equations in general form, J. of Diff. Equations, 142 (1998), 263-276.
    • (1998) J. of Diff. Equations , vol.142 , pp. 263-276
    • Tersenov, A.S.1
  • 14
    • 0034382483 scopus 로고    scopus 로고
    • On the first boundary value problem for quasilinear parabolic equation with two independent variables
    • _, On the first boundary value problem for quasilinear parabolic equation with two independent variables, Arch. Ration. Mech. Anal. 152 (2000), 81-92.
    • (2000) Arch. Ration. Mech. Anal. , vol.152 , pp. 81-92


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.