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Volumn 16, Issue 2, 2000, Pages 219-241

Pseudo differential operators with negative definite symbols of variable order

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EID: 0034368584     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/274     Document Type: Article
Times cited : (52)

References (33)
  • 1
    • 34250095360 scopus 로고
    • Uniqueness in law for pure jump Markov processes
    • Bass, R. F., Uniqueness in law for pure jump Markov processes. Probab. Theor. Rel. Fields 79 (1988), 271-287.
    • (1988) Probab. Theor. Rel. Fields , vol.79 , pp. 271-287
    • Bass, R.F.1
  • 6
    • 84971108529 scopus 로고
    • Formulae for high derivatives of composite functions
    • Fraenkel, L. E., Formulae for high derivatives of composite functions. Math. Proc. Camb. Phil. Soc. 83 (1978), 159-165.
    • (1978) Math. Proc. Camb. Phil. Soc. , vol.83 , pp. 159-165
    • Fraenkel, L.E.1
  • 7
    • 0011502077 scopus 로고
    • The martingale problem for a class of pseudo differential operators
    • Hoh, W., The martingale problem for a class of pseudo differential operators. Math. Ann. 300 (1994), 121-147.
    • (1994) Math. Ann. , vol.300 , pp. 121-147
    • Hoh, W.1
  • 8
    • 0000597654 scopus 로고
    • Pseudo differential operators with negative definite symbols and the martingale problem
    • Hoh, W., Pseudo differential operators with negative definite symbols and the martingale problem. Stochastics and Stoch. Rep. 55 (1995), 225-252.
    • (1995) Stochastics and Stoch. Rep. , vol.55 , pp. 225-252
    • Hoh, W.1
  • 9
    • 0000699358 scopus 로고    scopus 로고
    • A symbolic calculus for pseudo differential operators generating Feller semigroups
    • Hoh, W., A symbolic calculus for pseudo differential operators generating Feller semigroups. Osaka J. Math. 35 (1998), 789-820.
    • (1998) Osaka J. Math. , vol.35 , pp. 789-820
    • Hoh, W.1
  • 10
    • 0031281601 scopus 로고    scopus 로고
    • Un calcul symbolique pour des opérateurs pseudo-différentiels engendrant des semi-groupes de Feller
    • Hoh, W., Un calcul symbolique pour des opérateurs pseudo-différentiels engendrant des semi-groupes de Feller. C. R. Acad. Sci. Paris 325 (1997), 1121-1124.
    • (1997) C. R. Acad. Sci. Paris , vol.325 , pp. 1121-1124
    • Hoh, W.1
  • 11
    • 85157173425 scopus 로고    scopus 로고
    • On perturbations of pseudo differential operators with negative definite symbol
    • Hoh, W., On perturbations of pseudo differential operators with negative definite symbol. To appear in Appl. Math. Optim.
    • Appl. Math. Optim.
    • Hoh, W.1
  • 12
    • 0000294908 scopus 로고
    • Feller semigroups, Dirichlet forms and pseudo differential operators
    • Jacob, N., Feller semigroups, Dirichlet forms and pseudo differential operators. Forum Math. 4 (1992), 433-446.
    • (1992) Forum Math. , vol.4 , pp. 433-446
    • Jacob, N.1
  • 13
    • 0001459550 scopus 로고
    • Further pseudo differential operators generating Feller semigroups and Dirichlet forms
    • Jacob, N., Further pseudo differential operators generating Feller semigroups and Dirichlet forms. Revista Mat. Iberoamericana 9 (1993), 373-407.
    • (1993) Revista Mat. Iberoamericana , vol.9 , pp. 373-407
    • Jacob, N.1
  • 14
    • 51249166005 scopus 로고
    • A class of Feller semigroups generated by pseudo differential operators
    • Jacob, N., A class of Feller semigroups generated by pseudo differential operators. Math. Z. 215 (1994), 151-166.
    • (1994) Math. Z. , vol.215 , pp. 151-166
    • Jacob, N.1
  • 15
    • 0013118687 scopus 로고
    • Pseudo-differential operators with variable order of differentiation generating Feller semigroups
    • Jacob, N., Leopold, H.-G., Pseudo-differential operators with variable order of differentiation generating Feller semigroups. Integr. Equations Oper. Theor. 17 (1993), 544-553.
    • (1993) Integr. Equations Oper. Theor. , vol.17 , pp. 544-553
    • Jacob, N.1    Leopold, H.-G.2
  • 17
    • 84985400469 scopus 로고
    • On a class of function spaces and related pseudo-differential operators
    • Leopold, H.-G., On a class of function spaces and related pseudo-differential operators. Math. Nachr. 127 (1986), 65-82.
    • (1986) Math. Nachr. , vol.127 , pp. 65-82
    • Leopold, H.-G.1
  • 18
    • 0002057266 scopus 로고
    • On Besov spaces of variable order of differentiation
    • Leopold, H.-G., On Besov spaces of variable order of differentiation. Z. Anal. Anwendungen 8 (1989), 69-82. Integr. Equations Oper. Theor. 17 (1993), 544-553.
    • (1989) Z. Anal. Anwendungen , vol.8 , pp. 69-82
    • Leopold, H.-G.1
  • 19
    • 0013118687 scopus 로고
    • Leopold, H.-G., On Besov spaces of variable order of differentiation. Z. Anal. Anwendungen 8 (1989), 69-82. Integr. Equations Oper. Theor. 17 (1993), 544-553.
    • (1993) Integr. Equations Oper. Theor. , vol.17 , pp. 544-553
  • 20
    • 0040286597 scopus 로고
    • On function spaces of variable order of differentiation
    • Leopold, H.-G., On function spaces of variable order of differentiation. Forum Math. 3 (1991), 69-82.
    • (1991) Forum Math. , vol.3 , pp. 69-82
    • Leopold, H.-G.1
  • 21
    • 85157264204 scopus 로고
    • Über koerzitive lineare partielle differentialoperatoren: Fredholmsche verallgemeinerte dirichletprobleme und deren klasseneinteilung
    • Louhivaara, I. S., Simader, C. G., Über koerzitive lineare partielle Differentialoperatoren: Fredholmsche verallgemeinerte Dirichletprobleme und deren Klasseneinteilung. Complex analysis and its applications. Collect. Artic. Steklov Math Inst. (1978), 342-345.
    • (1978) Collect. Artic. Steklov Math Inst. , pp. 342-345
    • Louhivaara, I.S.1    Simader, C.G.2
  • 22
    • 0040880942 scopus 로고
    • Fredholmsche verallgemeinerte dirichletprobleme für koerzitive lineare partielle differentialoperatoren
    • Proc. Ralf Nevanlinna Symp. on complex analysis, Silivri, 1976
    • Louhivaara, I. S., Simader, C. G., Fredholmsche verallgemeinerte Dirichletprobleme für koerzitive lineare partielle Differentialoperatoren. Proc. Ralf Nevanlinna Symp. on complex analysis, Silivri, 1976. Publ. Math. Res. Inst. 7 (1978), 47-57.
    • (1978) Publ. Math. Res. Inst. , vol.7 , pp. 47-57
    • Louhivaara, I.S.1    Simader, C.G.2
  • 23
    • 0013161462 scopus 로고    scopus 로고
    • On Markov process generated by pseudodifferential operator of variable order
    • Kikuchi, K., Negoro, A., On Markov process generated by pseudodifferential operator of variable order. Osaka J. Math. 34 (1997), 319-335.
    • (1997) Osaka J. Math. , vol.34 , pp. 319-335
    • Kikuchi, K.1    Negoro, A.2
  • 26
    • 84972567166 scopus 로고
    • Stable-like processes. Construction of the transition density and behavior of sample paths near t = 0
    • Negoro, A., Stable-like processes. Construction of the transition density and behavior of sample paths near t = 0. Osaka J. Math. 31 (1994), 189-214.
    • (1994) Osaka J. Math. , vol.31 , pp. 189-214
    • Negoro, A.1
  • 27
    • 0039809476 scopus 로고
    • Sobolev spaces of variable order and problems of convexity for partial differential operators with constant coefficients
    • Unterberger, A., Sobolev spaces of variable order and problems of convexity for partial differential operators with constant coefficients. Astérique 2/3 (1973), 325-341.
    • (1973) Astérique , vol.2-3 , pp. 325-341
    • Unterberger, A.1
  • 29
    • 0013110462 scopus 로고
    • Les opérateurs pseudodifférentiels d'ordre variable
    • Unterberger, A., Bokobza, J., Les opérateurs pseudodifférentiels d'ordre variable. C. R. Acad. Sci. Paris (Ser. A) 261 (1965), 2271-2273.
    • (1965) C. R. Acad. Sci. Paris (Ser. A) , vol.261 , pp. 2271-2273
    • Unterberger, A.1    Bokobza, J.2
  • 30
    • 0040558130 scopus 로고
    • Lévy measure with generalized polar decomposition and the associated SDE with jumps
    • Tsuchiya, M., Lévy measure with generalized polar decomposition and the associated SDE with jumps. Stochastics and Stoch. Rep. 38 (1992), 95-117.
    • (1992) Stochastics and Stoch. Rep. , vol.38 , pp. 95-117
    • Tsuchiya, M.1
  • 31
    • 0041152243 scopus 로고
    • On martingales and Feller semigroups
    • van Casteren, J., On martingales and Feller semigroups. Results. Math. 21 (1992), 274-288.
    • (1992) Results. Math. , vol.21 , pp. 274-288
    • Van Casteren, J.1
  • 32
    • 0011535639 scopus 로고
    • Elliptic convolution equations in a bounded region and their applications
    • Višik, M. I., Eskin, G. I., Elliptic convolution equations in a bounded region and their applications. Russian Math. Surveys 22 (1967), 13-75.
    • (1967) Russian Math. Surveys , vol.22 , pp. 13-75
    • Višik, M.I.1    Eskin, G.I.2
  • 33
    • 4243733610 scopus 로고
    • Convolution equations of variable order. Trans
    • Višik, M. I., Eskin, G. I., Convolution equations of variable order. Trans. Moskow Math. Soc. 16 (1968), 27-52.
    • (1968) Moskow Math. Soc. , vol.16 , pp. 27-52
    • Višik, M.I.1    Eskin, G.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.