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Volumn 27, Issue 1, 2010, Pages 145-200

The boundary regularity of non-linear parabolic systems II

Author keywords

[No Author keywords available]

Indexed keywords

HOLMIUM; LINEAR SYSTEMS;

EID: 73749083981     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2009.09.002     Document Type: Article
Times cited : (34)

References (34)
  • 1
    • 33846833574 scopus 로고    scopus 로고
    • Gradient estimates for a class of parabolic systems
    • Acerbi E., and Mingione G. Gradient estimates for a class of parabolic systems. Duke Math. J. 136 (2007) 285-320
    • (2007) Duke Math. J. , vol.136 , pp. 285-320
    • Acerbi, E.1    Mingione, G.2
  • 2
    • 0842308385 scopus 로고    scopus 로고
    • Regularity results for parabolic systems related to a class of non-newtonian fluids
    • Acerbi E., Mingione G., and Seregin G.A. Regularity results for parabolic systems related to a class of non-newtonian fluids. Ann. Inst. H. Poincaré Anal. Non Linéaire 21 1 (2004) 25-60
    • (2004) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.21 , Issue.1 , pp. 25-60
    • Acerbi, E.1    Mingione, G.2    Seregin, G.A.3
  • 3
    • 73749088491 scopus 로고    scopus 로고
    • On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth
    • Arkhipova A.A. On a partial regularity up to the boundary of weak solutions to quasilinear parabolic systems with quadratic growth. Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 249 5 (1997) 20-39
    • (1997) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) , vol.249 , Issue.5 , pp. 20-39
    • Arkhipova, A.A.1
  • 4
    • 34547315280 scopus 로고    scopus 로고
    • Partial regularity for weak solutions of nonlinear elliptic systems: The subquadratic case
    • Beck L. Partial regularity for weak solutions of nonlinear elliptic systems: The subquadratic case. Manuscripta Math. 123 4 (2007) 453-491
    • (2007) Manuscripta Math. , vol.123 , Issue.4 , pp. 453-491
    • Beck, L.1
  • 6
    • 52349122581 scopus 로고    scopus 로고
    • Partial regularity and singular sets of solutions of higher order parabolic systems
    • Bögelein V. Partial regularity and singular sets of solutions of higher order parabolic systems. Ann. Mat. Pura Appl. 188 (2009) 61-122
    • (2009) Ann. Mat. Pura Appl. , vol.188 , pp. 61-122
    • Bögelein, V.1
  • 10
    • 0042249031 scopus 로고
    • Degenerate Parabolic Equations
    • Springer-Verlag, New York
    • DiBenedetto E. Degenerate Parabolic Equations. Universitext (1993), Springer-Verlag, New York
    • (1993) Universitext
    • DiBenedetto, E.1
  • 11
    • 0000035984 scopus 로고
    • Boundary estimates for solutions of nonlinear degenerate parabolic systems
    • Chen Y.Z., and DiBenedetto E. Boundary estimates for solutions of nonlinear degenerate parabolic systems. J. Reine Angew. Math. 395 (1989) 102-131
    • (1989) J. Reine Angew. Math. , vol.395 , pp. 102-131
    • Chen, Y.Z.1    DiBenedetto, E.2
  • 12
    • 4344715759 scopus 로고    scopus 로고
    • Differentiability of solutions for the non-degenerate p-Laplacian in the Heisenberg group
    • Domokos A. Differentiability of solutions for the non-degenerate p-Laplacian in the Heisenberg group. J. Differential Equations 204 (2004) 439-470
    • (2004) J. Differential Equations , vol.204 , pp. 439-470
    • Domokos, A.1
  • 13
    • 0034555619 scopus 로고    scopus 로고
    • Optimal interior partial regularity for nonlinear elliptic systems: The method of a-harmonic approximation
    • Duzaar F., and Grotowski J.F. Optimal interior partial regularity for nonlinear elliptic systems: The method of a-harmonic approximation. Manuscripta Math. 103 (2000) 267-298
    • (2000) Manuscripta Math. , vol.103 , pp. 267-298
    • Duzaar, F.1    Grotowski, J.F.2
  • 14
    • 4544224044 scopus 로고    scopus 로고
    • Partial and full boundary regularity for minimizers of functionals with nonquadratic growth
    • Duzaar F., Grotowski J.F., and Kronz M. Partial and full boundary regularity for minimizers of functionals with nonquadratic growth. J. Convex Anal. 11 (2004) 437-476
    • (2004) J. Convex Anal. , vol.11 , pp. 437-476
    • Duzaar, F.1    Grotowski, J.F.2    Kronz, M.3
  • 15
    • 33846993418 scopus 로고    scopus 로고
    • The existence of regular boundary points for non-linear elliptic systems
    • Duzaar F., Kristensen J., and Mingione G. The existence of regular boundary points for non-linear elliptic systems. J. Reine Angew. Math. (Crelles J.) 602 (2007) 17-58
    • (2007) J. Reine Angew. Math. (Crelles J.) , vol.602 , pp. 17-58
    • Duzaar, F.1    Kristensen, J.2    Mingione, G.3
  • 16
    • 25644433664 scopus 로고    scopus 로고
    • Second order parabolic systems, optimal regularity, and singular sets of solutions
    • Duzaar F., and Mingione G. Second order parabolic systems, optimal regularity, and singular sets of solutions. Ann. Inst. H. Poincaré Anal. Non Linéaire 22 (2005) 705-751
    • (2005) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.22 , pp. 705-751
    • Duzaar, F.1    Mingione, G.2
  • 17
    • 57749083373 scopus 로고    scopus 로고
    • Harmonic type approximation lemmas
    • Duzaar F., and Mingione G. Harmonic type approximation lemmas. J. Math. Anal. Appl. 352 (2009) 301-335
    • (2009) J. Math. Anal. Appl. , vol.352 , pp. 301-335
    • Duzaar, F.1    Mingione, G.2
  • 19
    • 0036265561 scopus 로고    scopus 로고
    • Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
    • Duzaar F.G., and Steffen K. Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals. J. Reine Angew. Math. 546 (2002)
    • (2002) J. Reine Angew. Math. , vol.546
    • Duzaar, F.G.1    Steffen, K.2
  • 21
    • 0001342269 scopus 로고
    • A counter-example to the boundary regularity of solutions to quasilinear systems
    • Giaquinta M. A counter-example to the boundary regularity of solutions to quasilinear systems. Manuscripta Math. 24 (1978) 217-220
    • (1978) Manuscripta Math. , vol.24 , pp. 217-220
    • Giaquinta, M.1
  • 24
    • 0001912071 scopus 로고
    • p-integrability in PDE's and quasiregular mappings for large exponents
    • p-integrability in PDE's and quasiregular mappings for large exponents. Ann. Acad. Sci. Fenn. Ser. A I 7 2 (1982) 301-322
    • (1982) Ann. Acad. Sci. Fenn. Ser. A I , vol.7 , Issue.2 , pp. 301-322
    • Iwaniec, T.1
  • 25
    • 33645686460 scopus 로고    scopus 로고
    • The singular set of minima of integral functionals
    • Kristensen J., and Mingione G. The singular set of minima of integral functionals. Arch. Ration. Mech. Anal. 180 (2006) 331-398
    • (2006) Arch. Ration. Mech. Anal. , vol.180 , pp. 331-398
    • Kristensen, J.1    Mingione, G.2
  • 26
    • 77957236075 scopus 로고    scopus 로고
    • Boundary regularity in variational problems
    • in press
    • J. Kristensen, G. Mingione, Boundary regularity in variational problems, in press
    • Kristensen, J.1    Mingione, G.2
  • 28
    • 0038610614 scopus 로고    scopus 로고
    • The singular set of solutions to non-differentiable elliptic systems
    • Mingione G. The singular set of solutions to non-differentiable elliptic systems. Arch. Ration. Mech. Anal. 166 (2003) 287-301
    • (2003) Arch. Ration. Mech. Anal. , vol.166 , pp. 287-301
    • Mingione, G.1
  • 29
    • 0347622554 scopus 로고    scopus 로고
    • Bounds for the singular set of solutions to non linear elliptic systems
    • Mingione G. Bounds for the singular set of solutions to non linear elliptic systems. Calc. Var. Partial Differential Equations 18 (2003) 373-400
    • (2003) Calc. Var. Partial Differential Equations , vol.18 , pp. 373-400
    • Mingione, G.1
  • 30
    • 84867971666 scopus 로고    scopus 로고
    • Regularity of minima: An invitation to the dark side of the calculus of variations
    • Mingione G. Regularity of minima: An invitation to the dark side of the calculus of variations. Appl. Math. 51 (2006) 355-425
    • (2006) Appl. Math. , vol.51 , pp. 355-425
    • Mingione, G.1
  • 31
    • 73749084531 scopus 로고    scopus 로고
    • Global gradient estimates for degenerate parabolic equations in nonsmooth domains
    • Parviainen M. Global gradient estimates for degenerate parabolic equations in nonsmooth domains. Ann. Mat. Pura Appl. 188 2 (2009) 333-358
    • (2009) Ann. Mat. Pura Appl. , vol.188 , Issue.2 , pp. 333-358
    • Parviainen, M.1
  • 32
    • 0000963105 scopus 로고
    • Counterexamples to the regularity of weak solutions of the quasilinear parabolic system
    • Stará J., John O., and Malý J. Counterexamples to the regularity of weak solutions of the quasilinear parabolic system. Comment. Math. Univ. Carolin. 27 (1986) 123-136
    • (1986) Comment. Math. Univ. Carolin. , vol.27 , pp. 123-136
    • Stará, J.1    John, O.2    Malý, J.3
  • 33
    • 0001521609 scopus 로고
    • Higher integrability from reverse Hölder inequalities
    • Stredulinsky E.W. Higher integrability from reverse Hölder inequalities. Indiana Univ. Math. J. 29 (1980) 407-413
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 407-413
    • Stredulinsky, E.W.1


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