Netrusov, Yu.; Safarov, Yu. Weyl asymptotic formula for the Laplacian on domains with rough boundaries. (English) Zbl 1076.35085 Commun. Math. Phys. 253, No. 2, 481-509 (2005). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35P20 35J25 47F05 PDFBibTeX XMLCite \textit{Yu. Netrusov} and \textit{Yu. Safarov}, Commun. Math. Phys. 253, No. 2, 481--509 (2005; Zbl 1076.35085) Full Text: DOI arXiv
Laptev, A.; Robert, D.; Safarov, Yu. Remarks on the paper of V. Guillemin and K. Okikiolu: “Subprincipal terms in Szegő estimates”. (English) Zbl 0917.58046 Math. Res. Lett. 5, No. 1-2, 57-61 (1998). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J40 58J50 35P15 35P20 PDFBibTeX XMLCite \textit{A. Laptev} et al., Math. Res. Lett. 5, No. 1--2, 57--61 (1998; Zbl 0917.58046) Full Text: DOI
Safarov, Yu.; Vassiliev, D. The asymptotic distribution of eigenvalues of partial differential operators. Transl. by the authors from an unpubl. Russian manuscript. (English) Zbl 0870.35003 Translations of Mathematical Monographs. 155. Providence, RI: American Mathematical Society (AMS). xiii, 354 p. (1996). Reviewer: J.Fleckinger (Toulouse) MSC: 35-02 35P20 58J50 35J55 PDFBibTeX XMLCite \textit{Yu. Safarov} and \textit{D. Vassiliev}, The asymptotic distribution of eigenvalues of partial differential operators. Transl. by the authors from an unpubl. Russian manuscript. Providence, RI: AMS, American Mathematical Society (1996; Zbl 0870.35003)
Vasil’ev, D. G.; Safarov, Yu. G. The asymptotic distribution of eigenvalues of differential operators. (English) Zbl 0751.58040 Transl., Ser. 2, Am. Math. Soc. 150, 55-110 (1992). Reviewer: G.E.Karadzhov (Sofia) MSC: 58J50 35P20 58J32 PDFBibTeX XMLCite \textit{D. G. Vasil'ev} and \textit{Yu. G. Safarov}, Transl., Ser. 2, Am. Math. Soc. 150, 55--110 (1992; Zbl 0751.58040) Full Text: DOI
Safarov, Yu. G. Precise spectral asymptotics and inverse problems. (English) Zbl 0825.58041 Integral equations and inverse problems, Proc. Int. Conf., Varna/Bulg. 1989, Pitman Res. Notes Math. Ser. 235, 239-240 (1991). MSC: 58J37 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, in: Spectral properties of elliptic operators of negative order. . 239--240 (1991; Zbl 0825.58041)
Gureev, T. E.; Safarov, Yu. G. Sharp asymptotics of the spectrum of the Laplace operator on a manifold with periodic geodesics. (English. Russian original) Zbl 0701.58058 Proc. Steklov Inst. Math. 179, 35-53 (1989); translation from Tr. Mat. Inst. Steklova 179, 36-53 (1988). MSC: 58J50 53C22 35J05 35P20 PDFBibTeX XMLCite \textit{T. E. Gureev} and \textit{Yu. G. Safarov}, Proc. Steklov Inst. Math. 179, 35--53 (1989; Zbl 0701.58058); translation from Tr. Mat. Inst. Steklova 179, 36--53 (1988)
Safarov, Yu. G. Non-classical two-term asymptotics. (English) Zbl 0685.35082 Partial differential equations, Proc. Symp., Hozhau/GDR 1988, Teubner- Texte Math. 112, 250-258 (1989). Reviewer: J.Janas MSC: 35P20 35J99 58J50 47B25 PDFBibTeX XML
Safarov, Yu. G. Asymptotic of the spectral function of a positive elliptic operator without the nontrap condition. (English. Russian original) Zbl 0679.35074 Funct. Anal. Appl. 22, No. 3, 213-223 (1988); translation from Funkts. Anal. Prilozh. 22, No. 3, 53-65 (1988). Reviewer: M.A.Perelmuter MSC: 35P20 35S05 58J40 58J50 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Funct. Anal. Appl. 22, No. 3, 213--223 (1988; Zbl 0679.35074); translation from Funkts. Anal. Prilozh. 22, No. 3, 53--65 (1988) Full Text: DOI
Gureev, T. E.; Safarov, Yu. G. Exact asymptotics of the spectrum of the Laplace operator on a manifold with periodic geodesics. (Russian) Zbl 0673.58047 Tr. Mat. Inst. Steklova 179, 36-53 (1988). Reviewer: V.Ivrij MSC: 58J50 53C22 PDFBibTeX XMLCite \textit{T. E. Gureev} and \textit{Yu. G. Safarov}, Tr. Mat. Inst. Steklova 179, 36--53 (1988; Zbl 0673.58047)
Vasil’ev, D. G.; Safarov, Yu. G. Branching Hamilton billiards. (English. Russian original) Zbl 0671.58012 Sov. Math., Dokl. 38, No. 1, 64-68 (1989); translation from Dokl. Akad. Nauk SSSR 301, No. 2, 271-275 (1988). Reviewer: Y.Kifer MSC: 37J99 35P20 PDFBibTeX XMLCite \textit{D. G. Vasil'ev} and \textit{Yu. G. Safarov}, Sov. Math., Dokl. 38, No. 1, 64--68 (1988; Zbl 0671.58012); translation from Dokl. Akad. Nauk SSSR 301, No. 2, 271--275 (1988)
Safarov, Yu. G. Asymptotics of the spectrum of a boundary-value problem with periodic billiard trajectories. (English. Russian original) Zbl 0699.35195 Funct. Anal. Appl. 21, No. 4, 337-339 (1987); translation from Funkts. Anal. Prilozh. 21, No. 4, 88-90 (1987). MSC: 35P20 58J10 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Funct. Anal. Appl. 21, No. 4, 337--339 (1987; Zbl 0699.35195); translation from Funkts. Anal. Prilozh. 21, No. 4, 88--90 (1987) Full Text: DOI
Safarov, Yu. G. Asymptotics of the spectrum of a boundary value problem with periodic bilinear trajectories. (Russian) Zbl 0672.35052 Funkts. Anal. Prilozh. 21, No. 4, 88-90 (1987). Reviewer: J.Tian MSC: 35P20 58J10 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Funkts. Anal. Prilozh. 21, No. 4, 88--90 (1987; Zbl 0672.35052)
Safarov, Yu. G. On the second term of the spectral asymptotics of the transmission problem. (English) Zbl 0643.58032 Acta Appl. Math. 10, 101-130 (1987). MSC: 58J50 58J32 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Acta Appl. Math. 10, 101--130 (1987; Zbl 0643.58032)
Safarov, Yu. G. Asymptotic behavior of the spectra of diffraction problems. (English) Zbl 0582.35098 J. Sov. Math. 32, 519-525 (1986). MSC: 35Q99 35P20 78A45 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, J. Sov. Math. 32, 519--525 (1986; Zbl 0582.35098) Full Text: DOI
Safarov, Yu. G. On the asymptotics of the eigenvalues of diffraction problems. (English. Russian original) Zbl 0596.35102 Sov. Math., Dokl. 31, 392-395 (1985); translation from Dokl. Akad. Nauk SSSR 281, 1058-1061 (1985). Reviewer: N.Vulchanow MSC: 35P20 78A45 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Sov. Math., Dokl. 31, 392--395 (1985; Zbl 0596.35102); translation from Dokl. Akad. Nauk SSSR 281, 1058--1061 (1985)
Safarov, Yu. G. Asymptotics of the spectrum of diffraction problems. (Russian. English summary) Zbl 0557.35093 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 137-145 (1984). MSC: 35Q99 35P20 78A45 PDFBibTeX XMLCite \textit{Yu. G. Safarov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 138, 137--145 (1984; Zbl 0557.35093) Full Text: EuDML