Karen Yagdjian's Publications (Full profile)

Paper

  1. Karen Yagdjian, Geometric optics for the Kirchhoff-type equations, Journal d'Analyse Mathematique, 90, (2003)
  2. Karen Yagdjian, The Lax-Mizohata theorem for nonlinear gauge invariant equations, Nonlinear Analysis. Theory, Methods & Applications, 49, (2), pp. 159-175, (2002)
  3. Karen Yagdjian, H. Ishida, University of Electro-Communications, Tokyo, Japan, On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity, Publ. RIMS Kyoto Univ. , 38, (2), pp. 265-287, (2002)
  4. Karen Yagdjian, Parametric resonance and nonexistence of global solution to nonlinear wave equations, Journal of Mathematical Analysis and Applications, 260, (1), pp. 251-268, (2001)
  5. Karen Yagdjian, The Lax-Mizohata theorem for Kirchhoff- type equations, Journal of Differential Equations, 171, pp. 346-369, (2001)
  6. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, About the influence of oscillations on Strichartz-type decay estimates, Rend. Sem. Mat. Univ. Pol. Torino, 58, (3), pp. 117-130, (2000)
  7. Karen Yagdjian, The Lax-Mizohata theorem for nonlinear gauge invariant equations, Proceedings of the Second Isaac Congress, Begehr Heinrich G. W. , Robert P. Gilbert, Joji Kajiwara, Kluwer Academic Publishers, pp. 1547-1561, (2000)
  8. Karen Yagdjian, Parametric resonance and nonexistence of global solution to nonlinear hyperbolic equations, Proceedings Workshop "Partial Differential Equations", Villa Gualino, Torino, 8-10 Maggio 2000, Edited by L. Rodino, Dipartimento di Matematica Dell' Universita di Torino, (2000), pp. 157-170, (2000)
  9. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, Klein-Gordon type decay rates for wave equations with time-dependent coefficients, Banach Center Publications, 52, pp. 189-212, (2000)
  10. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, Lp - Lq decay estimates for the solutions of strictly hyperbolic equations of second order with increasing in time coefficients, Mathematische Nachrichten, 214, pp. 71-104, (2000)
  11. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, Lp - Lq decay estimates for hyperbolic equations with oscillations in coefficients, Chinese Annals of Mathematics, 21, Ser. B, (2), pp. 153-164, (2000)
  12. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, One application of Floquet's theory to Lp -L q estimates, Mathematical Methods in the Applied Sciences, 22, pp. 937-951, (1999)
  13. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, Weakly hyperbolic equations with fast oscillating coefficients, Osaka Journal of Mathematics, 36, (2), pp. 437-464, (1999)
  14. Karen Yagdjian, K. Kajitani, University of Tsukuba, Japan, Quasilinear hyperbolic operators with the characteristics of variable multiplicity, Tsukuba Journal of Mathematics, 22, (1), pp. 49-85, (1998)
  15. Karen Yagdjian, A note on Lax-Mizohata theorem for quasilinear equations, Comm. Partial Differential Equations, 23(5&6), pp. 1111-1122., (1998)
  16. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, Stability of Global Gevrey Solution to Weakly Hyperbolic Equations, Chinese Annals of Mathematics, 18, Ser. B, (1), pp. 1-14, (1997)
  17. Karen Yagdjian, Representation Theorem for the Solutions of Equations with the Turning Point of Infinite Order, Annali di Matematica pura ed applicata (IV), CLXXII, pp. 13-30., (1997)
  18. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, On the Stokes matrix for a family of infinitely degenerate operators of second order, Tsukuba Journal of Mathematics, 21, (3), pp. 671-706., (1997)
  19. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, Levi conditions and global Gevrey regularity for the solutions of quasilinear weakly hyperbolic equations, Mathematische Nachrichten, 178, pp. 285-307, (1996)
  20. Karen Yagdjian, Gevrey asymptotic representation of the solutions of equations with one turning point, Mathematische Nachrichten, 183, pp. 295-312., (1996)
  21. Karen Yagdjian, JWKB Representation for Equations with a Turning Point of Infinite Order, Journal of Contemporary Mathematical Analysis, 31, (3), pp. 62-81., (1996)
  22. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, An interesting connection between hypoellipticity and branching phenomena for certain differential operators with degeneration of infinite order, Rendiconti di Matematica, Roma, ser. VII, 15, (4), pp. 481-510, (1995)
  23. Karen Yagdjian, Necessary conditions for the correctness of the Cauchy problem for operators with multiple characteristics, Comm. Partial Differential Equations, 19, (1&2), pp. 1-25, (1994)
  24. Karen Yagdjian, M. Reissig, TU Bergakademie Freiberg, Germany, On the Cauchy problem for quasilinear weakly hyperbolic equations with time degeneration, Journal of Contemporary Mathematical Analysis, 28, (2), pp. 31-50, (1993)
  25. Karen Yagdjian, Fundamental solution of the Cauchy problem for hyperbolic operators with multiple characteristics, Journal of Contemporary Mathematical Analysis, 27, (1), pp. 37-62, (1992)
  26. Karen Yagdjian, A. Galstian, Kansas State University, USA, Uniqueness of the solution of the Cauchy problem for degenerating elliptic equation, ; Soviet Journal of Contemporary Mathematical Analysis, 25, (2), pp. 85-90, (1990)
  27. Karen Yagdjian, A. Galstian, Kansas State University, USA, Uniqueness of the solution of the Cauchy problem for degenerating elliptic equation, (Russian); Differencial'nye Uravnenija, 26, (10), pp. 1818-1821, (1990)
  28. Karen Yagdjian, Parametrix of the Cauchy problem for a hyperbolic operators which degenerate with respect to space variables, Soviet Journal of Contemporary Mathematical Analysis, 24, (5), pp. 1-13, (1989)
  29. Karen Yagdjian, Necessary conditions for the correctness of the Cauchy problem for operators with multiple characteristics, Soviet Journal of Contemporary Mathematical Analysis, 23, (5), pp. 36-61, (1988)
  30. Karen Yagdjian, Pseudodifferential operators with a parameter and the fundamental solution of the Cauchy problem for operators with multiple characteristics, Soviet Journal of Contemporary Mathematical Analysis, 21, (4), pp. 1-29, (1986)

Book

  1. K. Yagdjian, The Cauchy Problem for Hyperbolic Operators. Multiple Characteristics. Micro-Local Approach, Math. Topics, Akademie Verlag, Berlin, 12, (1997)
  2. Karen Yagdjian, G. R. Alexandrian, Edgewood College, Madison, WI, USA, Basics of the theory of pseudo-differential operators, I, (in Russian), Yerevan State University Press, Yerevan, (1988)