메뉴 건너뛰기




Volumn 10, Issue 9, 2005, Pages 1007-1034

Existence and regularity results for solutions to nonlinear parabolic equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 67349241485     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (6)

References (20)
  • 1
    • 0003131889 scopus 로고
    • Local behavior of solutions of quasilinear parabolic equations
    • D. G. Aronson and J. Serrin, Local behavior of solutions of quasilinear parabolic equations, Arch. Rational Mech. Anal., 25 (1967), 81-122.
    • (1967) Arch. Rational Mech. Anal. , vol.25 , pp. 81-122
    • Aronson, D.G.1    Serrin, J.2
  • 3
    • 0035842861 scopus 로고    scopus 로고
    • Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems
    • D. Blanchard, F. Murat, and H. Redwane, Existence and uniqueness of a renormalized solution for a fairly general class of nonlinear parabolic problems, J. Differential Equations, 177 (2001), 331-374.
    • (2001) J. Differential Equations , vol.177 , pp. 331-374
    • Blanchard, D.1    Murat, F.2    Redwane, H.3
  • 5
    • 0141831405 scopus 로고    scopus 로고
    • Existence and regularity results for some nonlinear parabolic equations
    • L. Boccardo, A. Dall'Aglio, T. Galloüet, and L. Orsina, Existence and regularity results for some nonlinear parabolic equations, Adv. Math. Sci. Appl., 9 (1999), 1017-1031.
    • (1999) Adv. Math. Sci. Appl. , vol.9 , pp. 1017-1031
    • Boccardo, L.1    Dall'Aglio, A.2    Galloüet, T.3    Orsina, L.4
  • 7
    • 0000930026 scopus 로고
    • Nonlinear elliptic and parabolic equations involving measure data
    • L. Boccardo and T. Galloüet, Nonlinear elliptic and parabolic equations involving measure data, J. Funct. Anal., 87 (1989), 149-169.
    • (1989) J. Funct. Anal. , vol.87 , pp. 149-169
    • Boccardo, L.1    Galloüet, T.2
  • 8
    • 44049113403 scopus 로고
    • Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations
    • L. Boccardo and F. Murat, Almost everywhere convergence of the gradients of solutions to elliptic and parabolic equations, Nonlinear Anal., 19 (1992), 581-597.
    • (1992) Nonlinear Anal. , vol.19 , pp. 581-597
    • Boccardo, L.1    Murat, F.2
  • 9
    • 12744277663 scopus 로고    scopus 로고
    • Nonlinear parabolic equations with natural growth in general domains
    • A. Dall'Aglio, D. Giachetti, and J.P. Puel, Nonlinear parabolic equations with natural growth in general domains, Ann. Mat. Pura Appl., 181 (2002), 407-426.
    • (2002) Ann. Mat. Pura Appl. , vol.181 , pp. 407-426
    • Dall'Aglio, A.1    Giachetti, D.2    Puel, J.P.3
  • 10
    • 0037269466 scopus 로고    scopus 로고
    • Parabolic capacity and soft measures for nonlinear equations
    • J. Droniou, A. Porretta, and A. Prignet, Parabolic capacity and soft measures for nonlinear equations, Potential Anal., 19 (2003), 99-161.
    • (2003) Potential Anal. , vol.19 , pp. 99-161
    • Droniou, J.1    Porretta, A.2    Prignet, A.3
  • 11
    • 0003690985 scopus 로고
    • Linear and Quasilinear Equations of Parabolic Type
    • Translations of the American Mathematical Society, A.M.S., Providence
    • O. Ladyzenskaja, V.A. Solonnikov, and N.N. Ural'ceva, "Linear and Quasilinear Equations of Parabolic Type," Translations of the American Mathematical Society, A.M.S., Providence, 1968.
    • (1968)
    • Ladyzenskaja, O.1    Solonnikov, V.A.2    Ural'ceva, N.N.3
  • 12
    • 0039300012 scopus 로고    scopus 로고
    • Nonlinear parabolic problems with critical growth and unbounded data
    • V. Ferone, M.R. Posteraro, and J.M. Rakotoson, Nonlinear parabolic problems with critical growth and unbounded data, Indiana Univ. Math. J., 50 (2001), 1201-1215.
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1201-1215
    • Ferone, V.1    Posteraro, M.R.2    Rakotoson, J.M.3
  • 13
    • 0003946958 scopus 로고
    • Quelques méthodes de résolution des problèmes aux limites non linèaires
    • Dunod; Gauthier-Villars, Paris
    • J.-L. Lions, "Quelques méthodes de résolution des problèmes aux limites non linèaires," Dunod; Gauthier-Villars, Paris, 1969.
    • (1969)
    • Lions, J.-L.1
  • 15
    • 0009185968 scopus 로고
    • L ∞ (Q)-estimate and existence of solutions for some nonlinear parabolic equations
    • L. Orsina and M. M. Porzio, L ∞ (Q)-estimate and existence of solutions for some nonlinear parabolic equations, Boll. Un. Mat. Ital. B, (7) 6 (1992), 631-647.
    • (1992) Boll. Un. Mat. Ital. B , vol.6 , Issue.7 , pp. 631-647
    • Orsina, L.1    Porzio, M.M.2
  • 16
    • 0009927673 scopus 로고    scopus 로고
    • Regularity for entropy solutions of a class of parabolic equations with nonregular initial datum
    • A. Porretta, Regularity for entropy solutions of a class of parabolic equations with nonregular initial datum, Dynam. Systems Appl., 7 (1998), 53-71.
    • (1998) Dynam. Systems Appl. , vol.7 , pp. 53-71
    • Porretta, A.1
  • 17
    • 0033416895 scopus 로고    scopus 로고
    • Existence of solutions for some "noncoercive" parabolic equations
    • M.M. Porzio, Existence of solutions for some "noncoercive" parabolic equations, Discrete Contin. Dynam. Systems 5 (1999) 553-568.
    • (1999) Discrete Contin. Dynam. Systems , vol.5 , pp. 553-568
    • Porzio, M.M.1
  • 20
    • 42649105942 scopus 로고    scopus 로고
    • Regularity for entropy solutions of parabolic p-Laplacian type equations
    • S. Segura de León and J. Toledo, Regularity for entropy solutions of parabolic p-Laplacian type equations, Publ. Mat., 43 (1999), 665-683.
    • (1999) Publ. Mat. , vol.43 , pp. 665-683
    • Segura de León, S.1    Toledo, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.