Email: g,e.karadzhov@sms.edu.pk

Course: Nonlinear partial differential equations

Publications

Articles in journals
[1] On the membership of integral operators to classes Sp for p > 2. Probl.
Math. Anal., St. Petersburg, 4(1972), 28-33 (in russian)
[2] The application of the theory of interpolation spaces to estimating the
singular numbers of integral operators. J. Soviet Math., 6(1976).
[3] The interpolation method of means for quasinormed spaces. Soviet
Math. Dokl., 14(1973), 319-322.
[4] The interpolation method of means for quasinormed spaces. Izv.
Math. Inst. Bulg. Acad. Sci., 15(1973), 192-207(in russian)
[5] Quasinormed and p-normed ideals of measurable functions. Annuaire
Technical University, Sofia, 9(1973), 31-42 (in russian)
[6] On reiteration in means spaces. C.R. Bulg. Acad. Sci., 27(1974),
1032- 1036 (in russian)
[7] Interpolation between spaces of Besov type. C.R. Bulg. Acad. Sci.,
28 (1975), 1011-1014 (in russian)
[8] Interpolation between spaces of Besov type. Annuaire Univ. Sofia, 67
(1972-73), (1976) 431-450 (in russian)
[9] An extension of the functions from Besov type spaces. C.R. Bulg.
Acad. Sci., 27(1974), 603-606 (in russian)
[10] On estimates for singular numbers of integral operators. Izv. VUZ,
11, 3,(1975), 209-222 (in russian)
[11] On commutativity of two interpolation functors. Soviet Math. Dokl.
16(1975), 875-878
[12] On a relation between complex method and means method of interpolation.
Math. and Math. Educat.,(1976), 173-192 (in bulgarian)
[13] On the membership of integral operators to classes Sq for 0 < q < 2
C.R. Bulg. Acad. Sci. 29(1976), 155-158 (in russian)
[14] On the membeship of integral operators to classes Sq for 0 < q < 2.
Serdica, 3(1977), 52-77 (in russian)
[15] On the membeship of integral operators to classes Sq for 0 < q < 2,
I. Math. and Math. Educat. , Sofia (1976) (in russian)
[16] Behaviour at infinity of the functions from B
p,q spaces. Serdica,
3(1977), 327-335 (in russian)
[17] Multipliers in classes Sq. Annuaire Univ. Sofia, 71(1976/77), 195-227
(in russian)
[18] Trigonometric problem of multipliers, Constr. Theory of Functions,
Sofia (1983), 82-86 (in russian)
[19] Asymptotics of traces for Toeplitz operators. One dimensional case.
Math. and Math. Educat., Sofia (1982), 182-188 (in russian)
[20] Spectral asymptotics of Toeplitz matrices generated by Hermitian
polynomials. C.R. Bulg. Acad. Sci., 36(1983), 27-29 (in russian)
[21] Spectral asymptotics for Toeplitz-type operators. Serdica , 10(1984),
367-375 (in russian)
[22] Asymptotic behaviour of the spectral function for harmonic oscillator.
C.R. Bulg. Acad. Sci., 37(1984), 25-28.
[23] Spectral asymptotics for some globally elliptic operators and periodic
bicharacteristics. C.R. Bulg. Acad. Sci., 37(1984), 9-11
[24] Asymptotic behaviour of traces of Toeplitz matrices, generated by
Hermitian polynomials, ICNO, Varna (1984), 631-634
[25] Asymptotic behaviour of the spectral function for harmonic oscillator.
Constr. Theory of Functions, Sofia (1984), 439-444
[26] Asymptotique semi-classique de la fonction spectrale d’operateurs de
Schroedinger, C.R. Acad. Sci., Paris, 300(1985), 593-595
[27] Spectral asymptotics for Toeplitz-type operators, generated by the
Schroedinger operator. Math. and Math. Educat., Sofia (1985), 53-59 (in
russian)
[28] Semiclassical asymptotics of the spectral function, 3 Conf. on Differ.
Equations, Russe (1985) (in russian)
[29] Asymptotics of the spectral function on the diagonal for ceratain
class of globally elliptic operators in Rn. Annuaire Univ. Sofia, 80(1986) (in
russian)
[30] Uniform asymptotics of the spectral function for a disturbed harmonic
oscillator and equiconvergence of eigenfunction series, Annuaire Univ. Sofia,
83(1989), 51-66 (in russian)
[31] Equiconvergence of Hermite series, Serdica, 16(1990), 217-229 (in
russian)
[32] Semiclassical asymptotics of the spectral function for some Schroedinger
operators. Math. Nachr., 128(1986), 103-114
[33] Semiclassical asymptotics of the spectral function for some h-admissible
operators. Math. Nachr., 132(1987), 329-346
[34] A complete asymptotics of the spectral function for harmonic oscillator.
C.R. Bulg. Acad. Sci., 41(1988), 9-11
[35] A complete asymptotics of the spectral function for harmonic oscillator.
Mathem. Balkanica, New Series, 3(1989), 123-134
[36] Uniform asymptotics of the spectral function for some globally elliptic
operators. 4 Conf. on Differ. Equations, Russe (1989)
[37] Uniform semiclassical asymptotics of the spectral function for Sturm-
Liouville operators. C.R. Acad. bulgare Sci., (1990)
[38] Uniform asymptotics of the spectral function for some globally elliptic
operators and periodic bicharacteristics. Serdica, 16(1990), 55-65
[39] Asymptotique semi-classique uniforme de la fonction spectrale d’operateurs
de Schroedinger, C.R. Acad. Sci., Paris, 310(1990), 99-104
[40] Uniform semiclassical asymptotics of the spectral function for Schroedinger
operators and periodic bicharacteristics. Math. Balkanica, New Series 4(1990),
173-185
[41] Boundedness conditions and spectrum estimates for the operators
b(X)a(D) and their analogs, a joint work with M. Birman and M. Solomyak,
Advances in Soviet Math., 7 (1991), 85-106
[42] Equiconvergence theorems for Laguerre series. Banach Center Publ.
27(1992), 207-220
[43] Spectral asymptotics of Toeplitz matrices generated by the Poisson-
Charlier polynomials. Proceed. of AMS, 114(1992), 129-134
[44] Sommabilite de Riesz des series d’Hermite multiples. C.R. Acad.
Sci., Paris, 317, Serie I (1993), 1023-1028
[45] Riesz summability of multiple Hermite series in Lp spaces. C.R. Bulg.
Acad. Sci., 47(1994), 5-8
[46] Riesz summability of multiple Hermite series in Lp spaces. Mathem.
Z., 219(1995), 107-118
[47] Riesz summability of Hermite series. C.R. Bulg. Acad. Sci. 48(1995),
15- 18
[48] Local solvability for a class of partial differential operators with double
characteristics, a joint work with M. Christ, MSRI, Berkeley, preprint no.
096-95
[49] Infinite dimensional families of locally nonsolvable partial differential
operators, a joint work with M. Christ and D. Mueller, Mathematical
Research Letters 3(1996), 511-526
[50] Localization and summability of multiple Hermite series, a joint work
with Elsayed Elsayed, Intern. J. of math. and math. sci. 20(1997), 61-74
[51] Riesz summability of multiple Hermite series. Rend. Sem. Mat.
Univ. Pol. Torino, Vol. 56, 3 (1998), 63-88
[52] Exponentially slow travelling waves on a finite interval for Burgers
type equation, a joint work with P. de Groen, EJDE, (1998), no. 30, 1-38
[53] The structure of slow travelling waves on a finite interval for Burgers
type equations, a joint work with P. de Groen, PanAmer. Math. J. 10(2000),
no. 4, 19-26
[54] Slow travelling waves on a finite interval for Burgers type equations.
problems, a joint work with P. de Groen, J. Comput. Appl. Math. 132
(2001), 155-189
[55] A remarkable class of second order differential operators on the
Heisenberg group H2, a joint work with D. Mueller, Math. Annalen, 320
(2001), 731-755
[56] Riesz summability of Hermite series, Commun. in Appl. Anal.,
6(2002), 331-362
[57] Metastability of the steady state solutions in the shadow system for
Gierer-Meinhardt’s equations, a joint work with P. de Groen, C.R. Acad.
bulgare Sci., 55(2002), 13-18
[58] Metastability in the shadow system for Gierer-Meinhardt’s equations,
a joint work with P. de Groen, EJDE, (2002), no. 50, 1-22
[59] Grand and small Lebesgue spaces and their analogs, a joint work
with A. Fiorenza, Z. Anal. Anwendungen, 23(2004), 657-681
[60] Endpoint Strichartz estimates for the wave equation in the critical
case, a joint work with V. Georgiev and N. Visciglia, Phase space analysis of
PDE, vol.1 (2004), 225-234, Centro di Ric. Mat. ”E. de Giorgi”, Sc. Norm.
Super. Pisa
[61] Local stability of spike steady states in a simplified Gierer-Meinhardt’s
system, a joint work with D. Edmunds and P. de Groen, EJDE, (2005), no.
54, 1-22
[62] Extrapolation theory: new results and applications, a joint work with
M. Milman, J. of Approx. Theory, 133(2005), 38-99
[63] Formulae for the distance in some quasi-Banach spaces, a joint work
with D. Edmunds, Arkiv for Mat., 43(2005), 145-165
[64] Limits of higher order Besov spaces and sharp reiteration theorems,
a joint work with M. Milman and J. Xiao, J. of Funct. Analysis, 221(2005),
323-339
[65] Carleson type theorems for certain convolution operators, a joint
work with J. Xiao, Integr. Eq. and Oper. Theory, to appear
[66] Sharp estimates of the embedding constants for Besov spaces, a joint
work with D. Edmunds and W. Evans, submitted
[67] Solvability for a class of transversally elliptic operators on the Heisenberg
group, submitted to Math. Nachr.
Textbooks
[68] Pseudodifferential operators and spectral theory. Sofia University,
1981
[69] Problems on ordinary differential equations, a joint work with E.
Horosov and N. Nikiforov, Sofia University, 1984