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Volumn 69, Issue 1, 2004, Pages 107-127

Estimates of heat kernels for a class of second-order elliptic operators with applications to semi-linear inequalities in exterior domains

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EID: 1642300807     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610703004824     Document Type: Article
Times cited : (16)

References (31)
  • 1
    • 0001861262 scopus 로고    scopus 로고
    • Gaussian estimates for second order elliptic operators with boundary conditions
    • W. ARENDT and A. F. M. TER ELST. 'Gaussian estimates for second order elliptic operators with boundary conditions', J. Operator Theory 38 (1997) 87-130.
    • (1997) J. Operator Theory , vol.38 , pp. 87-130
    • Arendt, W.1    Ter Elst, A.F.M.2
  • 2
    • 0000377165 scopus 로고
    • Non-negative solutions of linear parabolic equations
    • D. G. ARONSON, 'Non-negative solutions of linear parabolic equations', Ann. Scuola Norm. Sup. Pisa 22 (1968) 607-694.
    • (1968) Ann. Scuola Norm. Sup. Pisa , vol.22 , pp. 607-694
    • Aronson, D.G.1
  • 3
    • 0013464164 scopus 로고    scopus 로고
    • 1 domains
    • Evolution Equations and Their Applications in Physical and Life Sciences (Bad Herrenalb.) Marcel Dekker, New York
    • 1 domains', Evolution Equations and Their Applications in Physical and Life Sciences (Bad Herrenalb. 1998), Lecture Notes in Pure and Applied Mathematics 215 (Marcel Dekker, New York, 2001) 15-32.
    • (1998) Lecture Notes in Pure and Applied Mathematics , vol.215 , pp. 15-32
    • Auscher, P.1    Tchamitchian, Ph.2
  • 4
    • 0001151696 scopus 로고
    • Local and global behavior of solutions of quasilinear equations of Emden-Fowler type
    • M.-F. BIDAUT-VERON, 'Local and global behavior of solutions of quasilinear equations of Emden-Fowler type', Arch. Rational Mech. Anal. 107 (1989) 293-324.
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 293-324
    • Bidaut-Veron, M.-F.1
  • 5
    • 0002620701 scopus 로고    scopus 로고
    • Nonexistence results and estimates for some nonlinear elliptic problems
    • M.-F. BIDAUT-VERON and S. POHOZAEV, 'Nonexistence results and estimates for some nonlinear elliptic problems', J. Anal. Math. 84 (2001) 1-49.
    • (2001) J. Anal. Math. , vol.84 , pp. 1-49
    • Bidaut-Veron, M.-F.1    Pohozaev, S.2
  • 6
    • 0039679171 scopus 로고
    • Conditional transformation of drift formula and potential theory for 1/2Δ + b(·) · ∇
    • M. CRANSTON and Z. ZHAO, 'Conditional transformation of drift formula and potential theory for 1/2Δ + b(·) · ∇', Comm. Math. Phys. 112 (1987) 613-625.
    • (1987) Comm. Math. Phys. , vol.112 , pp. 613-625
    • Cranston, M.1    Zhao, Z.2
  • 7
    • 0013463865 scopus 로고    scopus 로고
    • Heat kernel estimates for operators with boundary conditions
    • D. DANERS, 'Heat kernel estimates for operators with boundary conditions', Math. Nachr. 217 (2000) 13-41.
    • (2000) Math. Nachr. , vol.217 , pp. 13-41
    • Daners, D.1
  • 9
    • 33646917618 scopus 로고
    • A new proof of Moser's parabolic Harnack inequality using the old idea of Nash
    • E. B. FABES and D. W. STROOCK, 'A new proof of Moser's parabolic Harnack inequality using the old idea of Nash', Arch. Rational Mech. Anal. 96 (1986) 327-338.
    • (1986) Arch. Rational Mech. Anal. , vol.96 , pp. 327-338
    • Fabes, E.B.1    Stroock, D.W.2
  • 11
    • 0013082953 scopus 로고    scopus 로고
    • Harnack inequalities for Schrödinger operators
    • W. HANSEN, 'Harnack inequalities for Schrödinger operators', Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 28 (1999) 413-470.
    • (1999) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.28 , pp. 413-470
    • Hansen, W.1
  • 12
    • 0000427933 scopus 로고
    • An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry
    • C. E. KENIG and W.-M. NI, 'An exterior Dirichlet problem with applications to some nonlinear equations arising in geometry', Amer. J. Math. 106 (1984) 689-702.
    • (1984) Amer. J. Math. , vol.106 , pp. 689-702
    • Kenig, C.E.1    Ni, W.-M.2
  • 13
    • 0013128982 scopus 로고
    • Positive solutions of second-order quasilinear elliptic equations
    • V. KONDRATIEV and S. EIDELMAN, 'Positive solutions of second-order quasilinear elliptic equations', Russian Acad. Sci. Dokl. Math. 49 (1994) 1214-1260.
    • (1994) Russian Acad. Sci. Dokl. Math. , vol.49 , pp. 1214-1260
    • Kondratiev, V.1    Eidelman, S.2
  • 14
    • 0037455312 scopus 로고    scopus 로고
    • Second-order semilinear elliptic inequalities in exterior domains
    • V. KONDRATIEV, V. LISKEVICH and Z. SOBOL, 'Second-order semilinear elliptic inequalities in exterior domains'. J. Differential Equations 187 (2003) 429-455.
    • (2003) J. Differential Equations , vol.187 , pp. 429-455
    • Kondratiev, V.1    Liskevich, V.2    Sobol, Z.3
  • 15
    • 0000074037 scopus 로고    scopus 로고
    • On the nonexistence of positive solutions to semilinear elliptic equations
    • V. KURTA, 'On the nonexistence of positive solutions to semilinear elliptic equations'. Proc. Steklov Inst. Math. 227 (1999) 1-8.
    • (1999) Proc. Steklov Inst. Math. , vol.227 , pp. 1-8
    • Kurta, V.1
  • 17
    • 0034287964 scopus 로고    scopus 로고
    • Estimates for fundamental solutions of second-order parabolic equations
    • V. LISKEVICH and YU. SEMENOV, 'Estimates for fundamental solutions of second-order parabolic equations', J. London Math. Soc. (2) 62 (2000) 521-543.
    • (2000) J. London Math. Soc. (2) , vol.62 , pp. 521-543
    • Liskevich, V.1    Semenov, Yu.2
  • 18
    • 0036695915 scopus 로고    scopus 로고
    • 0-semigroups associated with second order elliptic operators II
    • 0-semigroups associated with second order elliptic operators II', J. Funct. Anal. 193 (2002) 55-76.
    • (2002) J. Funct. Anal. , vol.193 , pp. 55-76
    • Liskevich, V.1    Sobol, Z.2    Vogt, H.3
  • 20
    • 0000842034 scopus 로고
    • Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients
    • J. R. NORRIS and D. W. STROOCK, 'Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients', Proc. London Math. Soc. 62 (1991) 373-402.
    • (1991) Proc. London Math. Soc. , vol.62 , pp. 373-402
    • Norris, J.R.1    Stroock, D.W.2
  • 22
    • 0002100319 scopus 로고    scopus 로고
    • On perturbation theory for linear elliptic and parabolic operators; the method of Nash
    • American Mathematical Society, Providence, RI
    • YU. SEMENOV, 'On perturbation theory for linear elliptic and parabolic operators; the method of Nash', Applied analysis, Contemporary Mathematics 221 (American Mathematical Society, Providence, RI, 1999) 217-284.
    • (1999) Applied Analysis, Contemporary Mathematics , vol.221 , pp. 217-284
    • Semenov, Yu.1
  • 24
    • 0039782361 scopus 로고    scopus 로고
    • On second-order periodic elliptic operators in divergence form
    • A. F. M. TER ELST, D. W. ROBINSON and A. SIKORA, 'On second-order periodic elliptic operators in divergence form', Math. Z. 238 (2001) 569-637.
    • (2001) Math. Z. , vol.238 , pp. 569-637
    • Ter Elst, A.F.M.1    Robinson, D.W.2    Sikora, A.3
  • 25
    • 1642336747 scopus 로고
    • On the perturbation theory for strongly continuous semigroups
    • J. VOIGT, 'On the perturbation theory for strongly continuous semigroups', Math. Ann. 229 (1977) 389-396.
    • (1977) Math. Ann. , vol.229 , pp. 389-396
    • Voigt, J.1
  • 26
    • 38249040541 scopus 로고
    • Absorption semigroups, their generators and Schrödinger semigroups
    • J. VOIGT, 'Absorption semigroups, their generators and Schrödinger semigroups', J. Funct. Anal. 67 (1986) 167-205.
    • (1986) J. Funct. Anal. , vol.67 , pp. 167-205
    • Voigt, J.1
  • 27
    • 0001683680 scopus 로고
    • Absorption semigroups, Feller property, and the Kato class
    • Birkhäuser, Basel
    • J. VOIGT, 'Absorption semigroups, Feller property, and the Kato class', Operator Theory: Advances and Applications 78 (Birkhäuser, Basel, 1995) 389-396.
    • (1995) Operator Theory: Advances and Applications , vol.78 , pp. 389-396
    • Voigt, J.1
  • 30
    • 0040238156 scopus 로고    scopus 로고
    • On a parabolic equation with a singular lower order term. II: The Gaussian bounds
    • Q. S. ZHANG, 'On a parabolic equation with a singular lower order term. II: The Gaussian bounds', Indiana Univ. Math. J. 43 (1997) 989-1020.
    • (1997) Indiana Univ. Math. J. , vol.43 , pp. 989-1020
    • Zhang, Q.S.1
  • 31
    • 0040735817 scopus 로고    scopus 로고
    • An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci ≥ 0
    • Q. S. ZHANG, 'An optimal parabolic estimate and its applications in prescribing scalar curvature on some open manifolds with Ricci ≥ 0', Math. Ann. 316 (2000) 703-731.
    • (2000) Math. Ann. , vol.316 , pp. 703-731
    • Zhang, Q.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.