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Volumn 101, Issue 5, 2000, Pages 3385-3397

On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth

(1)  Arkhipova, A A a  

a NONE

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EID: 25644455538     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02680140     Document Type: Article
Times cited : (3)

References (21)
  • 2
    • 0000989447 scopus 로고
    • On the partial regularity of weak solutions of nonlinear parabolic systems
    • M. Giaquinta and M. Struwe, "On the partial regularity of weak solutions of nonlinear parabolic systems," Math. Z., 179, 437-451 (1982).
    • (1982) Math. Z. , vol.179 , pp. 437-451
    • Giaquinta, M.1    Struwe, M.2
  • 3
    • 13844267164 scopus 로고
    • Partial Holder continuity of solutions of nonlinear parabolic systems of second order with quadratic growth
    • M. Marino and A. Maugeri, "Partial Holder continuity of solutions of nonlinear parabolic systems of second order with quadratic growth," Bolletino U.M.I., 7, 3-B, 397-435 (1989).
    • (1989) Bolletino U.M.I. , vol.7 , pp. 397-435
    • Marino, M.1    Maugeri, A.2
  • 4
    • 52849093020 scopus 로고
    • Maximum principle for parabolic systems
    • M. Marino and A. Maugeri, "Maximum principle for parabolic systems," St. Petersburg Math. J., 3, No. 6, 1351-1358 (1992).
    • (1992) St. Petersburg Math. J. , vol.3 , Issue.6 , pp. 1351-1358
    • Marino, M.1    Maugeri, A.2
  • 5
    • 52849092713 scopus 로고
    • Regularity for parabolic systems in divergence form
    • M. Marino and A. Maugeri, "Regularity for parabolic systems in divergence form," Methods Real Analysis PDE, No. 14, 63-82 (1992).
    • (1992) Methods Real Analysis PDE, No. , vol.14 , pp. 63-82
    • Marino, M.1    Maugeri, A.2
  • 7
    • 34250076520 scopus 로고
    • 2,A-regularity of the spatial derivatives of the solutions to parabolic systems in divergence form
    • 2,A-regularity of the spatial derivatives of the solutions to parabolic systems in divergence form," Ann. Mat. Pura Appl, 164, 275-298 (1993).
    • (1993) Ann. Mat. Pura Appl , vol.164 , pp. 275-298
    • Marino, M.1    Maugeri, A.2
  • 8
    • 38849153649 scopus 로고    scopus 로고
    • A remark on the note: Partial Holder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth
    • M. Marino and A. Maugeri, "A remark on the note: Partial Holder continuity of the spatial derivatives of the solutions to nonlinear parabolic systems with quadratic growth," Rend. Sem. Mat., 95 (1996).
    • (1996) Rend. Sem. Mat. , vol.95
    • Marino, M.1    Maugeri, A.2
  • 9
    • 85037427063 scopus 로고    scopus 로고
    • Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlincarities,''
    • to appear.
    • J. Naumann and J. Wolf, "Interior differentiability of weak solutions to parabolic systems with quadratic growth nonlincarities,'' Rend. Sem. Mat., to appear.
    • Rend. Sem. Mat.
    • Naumann, J.1    Wolf, J.2
  • 10
    • 18144366148 scopus 로고    scopus 로고
    • On global solvability of nondiagonal parabolic systems of variational structure in the case of two spatial variables
    • A. A. Arkhipova, '"On global solvability of nondiagonal parabolic systems of variational structure in the case of two spatial variables," Probl. Mat. Anal, 16 (1997).
    • (1997) Probl. Mat. Anal , vol.16
    • Arkhipova, A.A.1
  • 11
    • 51249177065 scopus 로고
    • On the evolution of harmonic mappings of Riemannian surfaces
    • M. Struwe. ''On the evolution of harmonic mappings of Riemannian surfaces," Comment. Math. Helvetici, 60, 558-581 (1985).
    • (1985) Comment. Math. Helvetici , vol.60 , pp. 558-581
    • Struwe, M.1
  • 12
    • 29144454253 scopus 로고    scopus 로고
    • On the regularity of solutions of a boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity
    • A. A. Arkhipova, "On the regularity of solutions of a boundary-value problem for quasilinear elliptic systems with quadratic nonlinearity," J. Math. Sci., 80, No. 6. 2208-2225 (1996).
    • (1996) J. Math. Sci. , vol.80 , Issue.6 , pp. 2208-2225
    • Arkhipova, A.A.1
  • 13
    • 29144502697 scopus 로고    scopus 로고
    • On the Neumann problem for nonlinear elliptic systems with quadratic nonlinearity
    • A. A. Arkhipova, "On the Neumann problem for nonlinear elliptic systems with quadratic nonlinearity," St. Petersburg Math. J., 8, No. 5, 1-47 (1997).
    • (1997) St. Petersburg Math. J. , vol.8 , Issue.5 , pp. 1-47
    • Arkhipova, A.A.1
  • 14
    • 0002180062 scopus 로고
    • Partial regularity for the solutions to nonlinear parabolic systems
    • M. Giaquinta and E. Giusti, "Partial regularity for the solutions to nonlinear parabolic systems," Ann. Mat. Pura Appl, 47, 253-266 (1973).
    • (1973) Ann. Mat. Pura Appl , vol.47 , pp. 253-266
    • Giaquinta, M.1    Giusti, E.2
  • 15
    • 0000496328 scopus 로고
    • Nonlinear elliptic systems with quadratic growth
    • M. Giaquinta and E. Giusti, "Nonlinear elliptic systems with quadratic growth," Manuscripta Math., 24, 323-349 (1978).
    • (1978) Manuscripta Math. , vol.24 , pp. 323-349
    • Giaquinta, M.1    Giusti, E.2
  • 16
    • 0039204510 scopus 로고
    • Local existence for quasilinear parabolic systems under nonlinear boundary conditions
    • M. Giaqnhita and G. Modica, "Local existence for quasilinear parabolic systems under nonlinear boundary conditions," Ann. Mat. Pura Appl, 149, 41-59 (1987).
    • (1987) Ann. Mat. Pura Appl , vol.149 , pp. 41-59
    • Giaqnhita, M.1    Modica, G.2
  • 17
    • 25644447075 scopus 로고
    • Some (new) counterexamples of parabolic systems
    • J. Stara and O. John. "Some (new) counterexamples of parabolic systems," Comment. Math. Univ. Carolinae, 36, No. 3, 503-510 (1995).
    • (1995) Comment. Math. Univ. Carolinae , vol.36 , Issue.3 , pp. 503-510
    • Stara, J.1    John, O.2
  • 18
    • 34848925684 scopus 로고
    • p-estimates of the gradients of solutions to initial boundary problems for quasilinear parabolic systems
    • p-estimates of the gradients of solutions to initial boundary problems for quasilinear parabolic systems." Probl. Mat. Anal., 13. 5-18, (1992).
    • (1992) Probl. Mat. Anal. , vol.13 , pp. 5-18
    • Arkhipova, A.A.1
  • 19
    • 52849135803 scopus 로고
    • On the regularity of the solution of the Neumann problem for quasilinear parabolic systems
    • A. A. Arkhipova. "On the regularity of the solution of the Neumann problem for quasilinear parabolic systems." Izv. RAN, Ser. Mat., 45, No. 2. 231-253 (1995).
    • (1995) Izv. RAN, Ser. Mat. , vol.45 , Issue.2 , pp. 231-253
    • Arkhipova, A.A.1
  • 21
    • 34347171922 scopus 로고
    • 2.0(Ω,δ) e loro proprietá
    • 2.0(Ω,δ) e loro proprietá," Ann. Mat. Pura Appl., 69. 383-392 (1965).
    • (1965) Ann. Mat. Pura Appl. , vol.69 , pp. 383-392
    • Da Prato, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.