Zentralblatt MATH

44 Partial differential equations34Lxx Ordinary differential operators[See also 47E05]34L05 General spectral theory34L10 Eigenfunctions, eigenfunction expansions,completeness of eigenfunctions34L15 Eigenvalues, estimation of eigenvalues,upper and lower bounds34L16 Numerical approximation of eigenvaluesand of other parts of the spectrum34L20 Asymptotic distribution of eigenvalues,asymptotic theory of eigenfunctions34L25 Scattering theory, inverse scattering34L30 Nonlinear ordinary differential operators34L40 Particular operators (Dirac,one-dimensional Schrödinger, etc.)34L99 None of the above, but in this section34Mxx Differential equations in the complexdomain [See also 30Dxx, 32G34]34M03 Linear equations and systems34M05 Entire and meromorphic solutions34M10 Oscillation, growth of solutions34M15 Algebraic aspects (differential-algebraic,hypertranscendence, group-theoretical)34M25 Formal solutions, transform techniques34M30 Asymptotics, summation methods34M35 Singularities, monodromy, local behaviorof solutions, normal forms34M40 Stokes phenomena and connection problems(linear and nonlinear)34M45 Differential equations on complex manifolds34M50 Inverse problems (Riemann-Hilbert, inversedifferential Galois, etc.)34M55 Painlevé and other special equations;classification, hierarchies;34M56 Isomonodromic deformations34M60 Singular perturbation problems in thecomplex domain (complex WKB, turningpoints, steepest descent)[See also 34E20]34M99 None of the above, but in this section34Nxx Dynamic equations on time scales ormeasure chains (For real analysis ontime scales see 26E70)34N05 Dynamic equations on time scales ormeasure chains (For real analysis on timescales or measure chains, see 26E70)34N99 None of the above, but in this section35-XX Partial differential equations35-00 General reference works (handbooks,dictionaries, bibliographies, etc.)35-01 Instructional exposition(textbooks, tutorial papers, etc.)35-02 Research exposition (monographs,survey articles)35-03 Historical (must also be assigned at leastone classification number from Section01)35-04 Explicit machine computation and programs(not the theory of computation orprogramming)35-06 Proceedings, conferences, collections,etc.35Axx General topics35A01 Existence problems: global existence, localexistence, non-existence35A02 Uniqueness problems: global uniqueness,local uniqueness, non-uniqueness35A08 Fundamental solutions35A09 Classical solutions35A10 Cauchy-Kovalevskaya theorems35A15 Variational methods35A16 Topological and monotonicity methods35A17 Parametrices35A18 Wave front sets35A20 Analytic methods, singularities35A21 Propagation of singularities35A22 Transform methods (e.g. integral transforms)35A23 Inequalities involving derivatives anddifferential and integral operators, inequalitiesfor integrals35A24 Methods of ordinary differential equations35A25 Other special methods35A27 Microlocal methods; methods of sheaftheory and homological algebra in PDE[See also 32C38, 58J15]