메뉴 건너뛰기




Volumn 152, Issue 1, 1998, Pages 22-73

Heat Kernels of Second Order Complex Elliptic Operators and Applications

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0002697426     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1997.3156     Document Type: Article
Times cited : (77)

References (40)
  • 1
    • 0003212031 scopus 로고
    • Lectures on elliptic boundary value problems
    • Princeton: van Nostrand
    • Agmon S. Lectures on elliptic boundary value problems. Van Nostrand Mathematical Studies 2. 1965;van Nostrand, Princeton.
    • (1965) Van Nostrand Mathematical Studies 2
    • Agmon, S.1
  • 2
    • 0011833753 scopus 로고
    • La conjecture de Kato pour les opérateurs différentiels elliptiques à coefficients périodiques
    • Alexopoulos G. La conjecture de Kato pour les opérateurs différentiels elliptiques à coefficients périodiques. C. R. Acad. Sci. Paris 1. 312:1991;263-266.
    • (1991) C. R. Acad. Sci. Paris 1 , vol.312 , pp. 263-266
    • Alexopoulos, G.1
  • 3
    • 84968488966 scopus 로고
    • Bounds for fundamental solutions of a parabolic equation
    • Aronson D. Bounds for fundamental solutions of a parabolic equation. Bull. Amer. Math. Soc. 73:1967;890-896.
    • (1967) Bull. Amer. Math. Soc. , vol.73 , pp. 890-896
    • Aronson, D.1
  • 4
    • 0001092529 scopus 로고    scopus 로고
    • Regularity theorems and heat kernels for elliptic operators
    • Auscher P. Regularity theorems and heat kernels for elliptic operators. J. London Math. Soc. 54:1996;284-296.
    • (1996) J. London Math. Soc. , vol.54 , pp. 284-296
    • Auscher, P.1
  • 5
  • 9
    • 0013464357 scopus 로고
    • Asymptotics behavior of the Green's function and spectral function of an elliptic operator
    • Beals R. Asymptotics behavior of the Green's function and spectral function of an elliptic operator. J. Funct. Anal. 5:1970;484-503.
    • (1970) J. Funct. Anal. , vol.5 , pp. 484-503
    • Beals, R.1
  • 11
    • 0000483922 scopus 로고
    • Improved regularity of solutions to elliptic equations involving Jacobians and applications
    • Béthuel F., Ghidaglia J. M. Improved regularity of solutions to elliptic equations involving Jacobians and applications. J. Math. Pure. Appl. 72:1993;441-474.
    • (1993) J. Math. Pure. Appl. , vol.72 , pp. 441-474
    • Béthuel, F.1    Ghidaglia, J.M.2
  • 15
    • 0001720260 scopus 로고
    • A boundedness for generalized Calderón-Zygmund operators
    • David G., Journé J.-L. A boundedness for generalized Calderón-Zygmund operators. Ann. Math. 120:1984;371-398.
    • (1984) Ann. Math. , vol.120 , pp. 371-398
    • David, G.1    Journé, J.-L.2
  • 18
  • 19
    • 0040640322 scopus 로고    scopus 로고
    • Functional calculi of second order elliptic operators with bounded measurable coefficients
    • X. T. Duong, A. McIntosh, Functional calculi of second order elliptic operators with bounded measurable coefficients, J. Geom. Anal.
    • J. Geom. Anal.
    • Duong, X.T.1    McIntosh, A.2
  • 20
    • 0030602110 scopus 로고    scopus 로고
    • Semigroup kernels, Poisson bounds, and holomorphic functional calculus
    • Duong X. T., Robinson D. Semigroup kernels, Poisson bounds, and holomorphic functional calculus. J. Funt. Anal. 142:1996;89-128.
    • (1996) J. Funt. Anal. , vol.142 , pp. 89-128
    • Duong, X.T.1    Robinson, D.2
  • 22
    • 33646917618 scopus 로고
    • A new proof of Moser's parabolic Harnack inequalities via the old ideas of Nash
    • Fabes E. B., Stroock D. W. A new proof of Moser's parabolic Harnack inequalities via the old ideas of Nash. Arch. Rat. Mech. Anal. 96:1986;327-338.
    • (1986) Arch. Rat. Mech. Anal. , vol.96 , pp. 327-338
    • Fabes, E.B.1    Stroock, D.W.2
  • 23
    • 0003283911 scopus 로고
    • Multiple integrals in the Calculus of Variations and Nonlinear Elliptic Systems
    • Princeton: Princeton Univ. Press
    • Giaquinta M. Multiple integrals in the Calculus of Variations and Nonlinear Elliptic Systems. Annals of Math. Studies, 105:1983;Princeton Univ. Press, Princeton.
    • (1983) Annals of Math. Studies , vol.105
    • Giaquinta, M.1
  • 25
    • 0000770482 scopus 로고
    • Square roots of elliptic operators
    • McIntosh A. Square roots of elliptic operators. J. Funct. Anal. 61:1985;307-327.
    • (1985) J. Funct. Anal. , vol.61 , pp. 307-327
    • McIntosh, A.1
  • 31
    • 84980080977 scopus 로고
    • On Harnack's theorem for elliptic partial differential equations
    • Moser J. On Harnack's theorem for elliptic partial differential equations. Comm. Pure Appl. Math. 14:1961;577-691.
    • (1961) Comm. Pure Appl. Math. , vol.14 , pp. 577-691
    • Moser, J.1
  • 32
    • 0001680091 scopus 로고
    • Continuity of solutions of parabolic and elliptic equations
    • Nash J. Continuity of solutions of parabolic and elliptic equations. Amer. J. Math. 80:1958;931-954.
    • (1958) Amer. J. Math. , vol.80 , pp. 931-954
    • Nash, J.1
  • 33
    • 0005697554 scopus 로고
    • Representation of elliptic operators in an enveloping algebra
    • Nelson E., Stinespring W. F. Representation of elliptic operators in an enveloping algebra. Am. J. Math. 81:1955;547-560.
    • (1955) Am. J. Math. , vol.81 , pp. 547-560
    • Nelson, E.1    Stinespring, W.F.2
  • 34
    • 84980072436 scopus 로고
    • Remarks on strongly elliptic partial differential operators
    • Nirenberg L. Remarks on strongly elliptic partial differential operators. Comm. Pure Appl. Math. 8:1955;649-675.
    • (1955) Comm. Pure Appl. Math. , vol.8 , pp. 649-675
    • Nirenberg, L.1
  • 35
    • 0003292512 scopus 로고
    • Elliptic Operators and Lie Groups
    • Oxford: Oxford Univ. Press
    • Robinson D. W. Elliptic Operators and Lie Groups. Oxford Mathematical Monographs. 1991;Oxford Univ. Press, Oxford.
    • (1991) Oxford Mathematical Monographs
    • Robinson, D.W.1
  • 36
    • 0004136765 scopus 로고
    • Princeton: Princeton Univ. Press
    • Stein E. M. Harmonic Analysis. 1993;Princeton Univ. Press, Princeton.
    • (1993) Harmonic Analysis
    • Stein, E.M.1
  • 37
    • 0013524964 scopus 로고
    • On Green's function of elliptic and parabolic boundary value problems
    • Tanabe H. On Green's function of elliptic and parabolic boundary value problems. Proc. Japan Acad. 48:1972;709-711.
    • (1972) Proc. Japan Acad. , vol.48 , pp. 709-711
    • Tanabe, H.1
  • 40
    • 0001585852 scopus 로고
    • An existence theorem for surfaces of constant mean curvature
    • 344
    • H. Wente, An existence theorem for surfaces of constant mean curvature, J. Math. Pure. Appl. 26, 1969, 318, 344.
    • (1969) J. Math. Pure. Appl. , vol.26 , pp. 318
    • Wente, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.