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Volumn 16, Issue 2, 1999, Pages 221-253

A nonlinear oblique derivative boundary value problem for the heat equation Part 1: Basic results

Author keywords

Heat equation; Nonlinear oblique derivative condition; Self similar solution

Indexed keywords


EID: 0001306615     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(99)80013-4     Document Type: Article
Times cited : (5)

References (18)
  • 1
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    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 623-727
    • Agmon, S.1    Douglis, A.2    Nirenberg, L.3
  • 2
    • 84980080664 scopus 로고
    • S. AGMON, A. DOUGLIS and L. NIRENBERG, Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions I and II, Comm. Pure Appl. Math., Vol. 12, 1959, pp. 623-727; Vol. 17, 1964, pp. 35-92.
    • (1964) Comm. Pure Appl. Math. , vol.17 , pp. 35-92
  • 3
    • 0000324117 scopus 로고
    • Quasilinear parabolic systems under nonlinear boundary conditions
    • H. AMANN, Quasilinear Parabolic Systems under Nonlinear Boundary Conditions, Arch. Rat. Mech. Anal., Vol. 92, 1986, pp. 153-191.
    • (1986) Arch. Rat. Mech. Anal. , vol.92 , pp. 153-191
    • Amann, H.1
  • 4
    • 38249027201 scopus 로고
    • Parabolic evolution equations and nonlinear boundary conditions
    • H. AMANN, Parabolic Evolution Equations and Nonlinear Boundary Conditions, J. Diff. Eq., Vol. 72, 1988, pp. 201-269.
    • (1988) J. Diff. Eq. , vol.72 , pp. 201-269
    • Amann, H.1
  • 8
    • 0003107010 scopus 로고
    • Initial and nonlinear oblique boundary value problems for fully nonlinear parabolic equations
    • G. DONG, Initial and nonlinear oblique boundary value problems for fully nonlinear parabolic equations, J. Partial Diff. Eq., Vol. 1, 1988, pp. 12-42.
    • (1988) J. Partial Diff. Eq. , vol.1 , pp. 12-42
    • Dong, G.1
  • 9
    • 0004637721 scopus 로고
    • Rapid penetration of a magnetic field into a plasma along an electrode
    • A. V. GORDEEV, A. V. Grechikha and Y. L. KALDA, Rapid penetration of a magnetic field into a plasma along an electrode, Sov. J. Plasma Phys., Vol. 16, 1, 1990.
    • (1990) Sov. J. Plasma Phys. , vol.16 , pp. 1
    • Gordeev, A.V.1    Grechikha, A.V.2    Kalda, Y.L.3
  • 13
    • 0003852358 scopus 로고
    • Équations aux dérivées partielles de type elliptique
    • Dunod, Paris
    • O. A. LADYŽENSKAJA and N. N. URAL'CEVA, Équations aux dérivées partielles de type elliptique, Monogr. Univ. Math., Dunod, Paris, 1968.
    • (1968) Monogr. Univ. Math.
    • Ladyženskaja, O.A.1    Ural'ceva, N.N.2
  • 14
    • 84967800148 scopus 로고
    • Nonlinear oblique boundary value problems for nonlinear elliptic equations
    • G. LIEBERMAN and N. TRUDINGER, Nonlinear oblique boundary value problems for nonlinear elliptic equations, Trans. A.M.S, Vol. 295, 1986, pp. 509-546.
    • (1986) Trans. A.M.S , vol.295 , pp. 509-546
    • Lieberman, G.1    Trudinger, N.2
  • 17
    • 0001314482 scopus 로고
    • Monotone methods in nonlinear elliptic and parabolic boundary value problems
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  • 18
    • 84981761946 scopus 로고
    • On harnack type inequalities and their applications to quasilinear problems
    • N. TRUDINGER, On Harnack type inequalities and their applications to quasilinear problems, Comm. Pure Appl. Math., Vol. 20, 1967, pp. 721-747.
    • (1967) Comm. Pure Appl. Math. , vol.20 , pp. 721-747
    • Trudinger, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.