{"id":1942,"date":"2014-05-15T12:05:56","date_gmt":"2014-05-15T07:05:56","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?page_id=1942"},"modified":"2016-11-15T12:51:33","modified_gmt":"2016-11-15T08:51:33","slug":"department-of-equations-of-mathematical-physics","status":"publish","type":"page","link":"https:\/\/www.imm.az\/exp\/departments\/department-of-equations-of-mathematical-physics\/","title":{"rendered":"Department of “Equations of mathematical physics”"},"content":{"rendered":"

\"Riyazi_fizika_tenlikleri\"<\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n
Head of the department:<\/strong><\/td>\nRauf Veli oglu Guseynov
\nDoctor of physico-mathematical sciences, professor, corresponding member of NASA<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
Tel:<\/strong><\/td>\n(+994 12) \u00a05387250<\/td>\n<\/tr>\n
E-mail:<\/strong><\/td>\nraufvh@yahoo.com<\/a>,\u00a0r<\/a>auf.huseynov@imm.az<\/a><\/td>\n<\/tr>\n
Number of employees:<\/strong><\/td>\n12<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
The basic scientific direction of the department:<\/strong><\/td>\n\n
    \n
  • On-valued solvability of different boundary value problems for divergent and non-divergent structure linear and nonlinear quasi-elliptic equations and non-stationary equations with quasi-elliptic part;<\/li>\n<\/ul>\n
      \n
    • investigation of quality properties of solutions of nonlinear pseudo-hyperbolic equations;<\/li>\n
    • studying of direct and inverse \u00a0\u00a0\u00a0\u00a0\u00a0problems.<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n
The obtained basic scientific results:<\/strong><\/td>\n\n
    \n
  • Negative spectra of quasi-elliptic \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0equations were studied, their\u00a0 number was estimated;<\/li>\n
  • the results expressing quality properties of divergent and non-divergent structure second order degenerate and non-degenerate elliptic and parabolic equations were obtained;<\/li>\n
  • equivalence of Wiener and Petrovsky type criteria of\u00a0 regularity of the point of a boundary value problem for parabolic equations was proved;<\/li>\n
  • quality properties of solutions of non-divergent structure, discontinuous coefficient parabolic equations were studied;<\/li>\n
  • \u201dconditional\u201d well-posedness of inverse problems with coefficient for linear, nonlinear, quasi-linear parabolic equations and system of equations was studied;<\/li>\n
  • quality properties of the solutions of a class of pseudo-hyperbolic and pseudo-parabolic equations were investigated;<\/li>\n
  • parabolic potentials were estimated in singular domains;<\/li>\n
  • asymptotics of the solutions of nonlinear equations near the singular point was studied;<\/li>\n
  • Poincare inequality for second order quasi-linear elliptic equations was proved;<\/li>\n
  • the questions of existence and uniqueness of solutions of the Dirichlet and Neumann problem for discontinuous coefficient Cordes type linear and quasi-linear elliptic equations were studied;<\/li>\n
  • theorems on a removable singularity of Carleson type for degenerate equations were proved;<\/li>\n
  • theorems on a removable singularity and theorems on the qualitative properties for p-Laplacian type quasi-linear equations with degenerating principal part were proved;<\/li>\n
  • Poincare-Sobolev and Hardy type uniform and non-uniform inequalities were proved;<\/li>\n
  • weighted Hardy inequalities in the Lebesgue spaces with a variable exponent were proved;<\/li>\n
  • existence of global solutions of semi-linear elliptic and parabolic type equations were studied, exact estimations for the existence of solutions were found;<\/li>\n
  • asymptotics of solutions satisfying the Neumann condition near the infinity was studied;<\/li>\n
  • uniqueness of solution of linear ordinary differential and partial equations without boundary condition was studied;<\/li>\n
  • behavior of Zaremba problem for second order degenerate elliptic equations in the boundary was studied, regularity of congruence point in special spherical layers was investigated.<\/li>\n<\/ul>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"

Head of the department: Rauf Veli oglu Guseynov Doctor of physico-mathematical sciences, professor, corresponding member of NASA Tel: (+994 12) \u00a05387250 E-mail: raufvh@yahoo.com,\u00a0rauf.huseynov@imm.az Number of employees: 12 The basic scientific direction of the department: On-valued solvability of different boundary value problems for divergent and non-divergent structure linear and nonlinear quasi-elliptic equations and non-stationary equations with […]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":1913,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1942"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=1942"}],"version-history":[{"count":4,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1942\/revisions"}],"predecessor-version":[{"id":9432,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1942\/revisions\/9432"}],"up":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/pages\/1913"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=1942"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}