Mathematics Subject Classification 2000
35-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 11 Dok.)
- 35-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
- 35-02 Research exposition (monographs, survey articles) ( 0 Dok.)
- 35-03 Historical (must also be assigned at least one classification number from Section 01) ( 0 Dok.)
- 35-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
- 35-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
- 35-XX Partial differential equations ( 0 Dok.)
- 35A05 General existence and uniqueness theorems ( 0 Dok.)
- 35A07 Local existence and uniqueness theorems ( 0 Dok.)
- 35A08 Fundamental solutions ( 0 Dok.)
- 35A10 Cauchy-Kovalevskaya theorems ( 0 Dok.)
- 35A15 Variational methods ( 0 Dok.)
- 35A17 Parametrices ( 0 Dok.)
- 35A18 Wave front sets ( 0 Dok.)
- 35A20 Analytic methods, singularities ( 0 Dok.)
- 35A21 Propagation of singularities ( 0 Dok.)
- 35A22 Transform methods (e.g. integral transforms) ( 0 Dok.)
- 35A25 Other special methods ( 0 Dok.)
- 35A27 Microlocal methods; methods of sheaf theory and homological algebra in PDE ( 0 Dok.)
- 35A30 Geometric theory, characteristics, transformations ( 0 Dok.)
- 35A35 Theoretical approximation to solutions ( 0 Dok.)
- 35A99 None of the above, but in this section ( 0 Dok.)
- 35Axx General theory ( 0 Dok. )
- 35B05 General behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value theorems) ( 0 Dok.)
- 35B10 Periodic solutions ( 0 Dok.)
- 35B15 Almost periodic solutions ( 0 Dok.)
- 35B20 Perturbations ( 0 Dok.)
- 35B25 Singular perturbations ( 0 Dok.)
- 35B27 Homogenization; partial differential equations in media with periodic structure ( 1 Dok.)
- 35B30 Dependence of solutions of PDE on initial and boundary data, parameters ( 0 Dok.)
- 35B32 Bifurcation ( 0 Dok.)
- 35B33 Critical exponents ( 0 Dok.)
- 35B34 Resonances ( 0 Dok.)
- 35B35 Stability, boundedness ( 0 Dok.)
- 35B37 PDE in connection with control problems ( 0 Dok.)
- 35B38 Critical points ( 0 Dok.)
- 35B40 Asymptotic behavior of solutions ( 0 Dok.)
- 35B41 Attractors ( 0 Dok.)
- 35B42 Inertial manifolds ( 0 Dok.)
- 35B45 A priori estimates ( 0 Dok.)
- 35B50 Maximum principles ( 0 Dok.)
- 35B60 Continuation and prolongation of solutions of PDE ( 0 Dok.)
- 35B65 Smoothness and regularity of solutions of PDE ( 0 Dok.)
- 35B99 None of the above, but in this section ( 0 Dok.)
- 35Bxx Qualitative properties of solutions ( 1 Dok. )
- 35C05 Solutions in closed form ( 0 Dok.)
- 35C10 Series solutions, expansion theorems ( 0 Dok.)
- 35C15 Integral representations of solutions of PDE ( 0 Dok.)
- 35C20 Asymptotic expansions ( 0 Dok.)
- 35C99 None of the above, but in this section ( 0 Dok.)
- 35Cxx Representations of solutions ( 0 Dok. )
- 35D05 Existence of generalized solutions ( 0 Dok.)
- 35D10 Regularity of generalized solutions ( 0 Dok.)
- 35D99 None of the above, but in this section ( 0 Dok.)
- 35Dxx Generalized solutions of partial differential equations ( 0 Dok. )
- 35E05 Fundamental solutions ( 0 Dok.)
- 35E10 Convexity properties ( 0 Dok.)
- 35E15 Initial value problems ( 0 Dok.)
- 35E20 General theory ( 0 Dok.)
- 35E99 None of the above, but in this section ( 0 Dok.)
- 35Exx Equations and systems with constant coefficients ( 0 Dok. )
- 35F05 General theory of linear first-order PDE ( 0 Dok.)
- 35F10 Initial value problems for linear first-order PDE, linear evolution equations ( 0 Dok.)
- 35F15 Boundary value problems for linear first-order PDE ( 0 Dok.)
- 35F20 General theory of nonlinear first-order PDE ( 0 Dok.)
- 35F25 Initial value problems for nonlinear first-order PDE, nonlinear evolution equations ( 0 Dok.)
- 35F30 Boundary value problems for nonlinear first-order PDE ( 0 Dok.)
- 35F99 None of the above, but in this section ( 0 Dok.)
- 35Fxx General first-order equations and systems ( 0 Dok. )
- 35G05 General theory of linear higher-order PDE ( 0 Dok.)
- 35G10 Initial value problems for linear higher-order PDE, linear evolution equations ( 0 Dok.)
- 35G15 Boundary value problems for linear higher-order PDE ( 0 Dok.)
- 35G20 General theory of nonlinear higher-order PDE ( 0 Dok.)
- 35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations ( 0 Dok.)
- 35G30 Boundary value problems for nonlinear higher-order PDE ( 0 Dok.)
- 35G99 None of the above, but in this section ( 0 Dok.)
- 35Gxx General higher-order equations and systems ( 0 Dok. )
- 35H10 Hypoelliptic equations ( 0 Dok.)
- 35H20 Subelliptic equations ( 0 Dok.)
- 35H30 Quasi-elliptic equations ( 0 Dok.)
- 35H99 None of the above, but in this section ( 0 Dok.)
- 35Hxx Close-to-elliptic equations ( 0 Dok. )
- 35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation ( 0 Dok.)
- 35J10 Schrödinger operator ( 0 Dok.)
- 35J15 General theory of second-order, elliptic equations ( 0 Dok.)
- 35J20 Variational methods for second-order, elliptic equations ( 0 Dok.)
- 35J25 Boundary value problems for second-order, elliptic equations ( 0 Dok.)
- 35J30 General theory of higher-order, elliptic equations ( 0 Dok.)
- 35J35 Variational methods for higher-order, elliptic equations ( 0 Dok.)
- 35J40 Boundary value problems for higher-order, elliptic equations ( 0 Dok.)
- 35J45 General theory of elliptic systems of PDE ( 0 Dok.)
- 35J50 Variational methods for elliptic systems ( 0 Dok.)
- 35J55 Boundary value problems for elliptic systems ( 0 Dok.)
- 35J60 Nonlinear PDE of elliptic type ( 0 Dok.)
- 35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE ( 0 Dok.)
- 35J67 Boundary values of solutions to elliptic PDE ( 0 Dok.)
- 35J70 Elliptic partial differential equations of degenerate type ( 0 Dok.)
- 35J85 Unilateral problems and variational inequalities for elliptic PDE ( 0 Dok.)
- 35J99 None of the above, but in this section ( 0 Dok.)
- 35Jxx Partial differential equations of elliptic type ( 1 Dok. )
- 35K05 Heat equation ( 0 Dok.)
- 35K10 General theory of second-order, parabolic equations ( 0 Dok.)
- 35K15 Initial value problems for second-order, parabolic equations ( 0 Dok.)
- 35K20 Boundary value problems for second-order, parabolic equations ( 0 Dok.)
- 35K25 General theory of higher-order, parabolic equations ( 0 Dok.)
- 35K30 Initial value problems for higher-order, parabolic equations ( 0 Dok.)
- 35K35 Boundary value problems for higher-order, parabolic equations ( 0 Dok.)
- 35K40 General theory of parabolic systems of PDE ( 0 Dok.)
- 35K45 Initial value problems for parabolic systems ( 0 Dok.)
- 35K50 Boundary value problems for parabolic systems ( 0 Dok.)
- 35K55 Nonlinear PDE of parabolic type ( 0 Dok.)
- 35K57 Reaction-diffusion equations ( 0 Dok.)
- 35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE ( 0 Dok.)
- 35K65 Parabolic partial differential equations of degenerate type ( 0 Dok.)
- 35K70 Ultraparabolic, pseudoparabolic PDE, etc. ( 0 Dok.)
- 35K85 Unilateral problems and variational inequalities for parabolic PDE ( 0 Dok.)
- 35K90 Abstract parabolic evolution equations ( 0 Dok.)
- 35K99 None of the above, but in this section ( 0 Dok.)
- 35Kxx Parabolic equations and systems ( 0 Dok. )
- 35L05 Wave equation ( 0 Dok.)
- 35L10 General theory of second-order, hyperbolic equations ( 0 Dok.)
- 35L15 Initial value problems for second-order, hyperbolic equations ( 0 Dok.)
- 35L20 Boundary value problems for second-order, hyperbolic equations ( 0 Dok.)
- 35L25 General theory of higher-order, hyperbolic equations ( 0 Dok.)
- 35L30 Initial value problems for higher-order, hyperbolic equations ( 0 Dok.)
- 35L35 Boundary value problems for higher-order, hyperbolic equations ( 0 Dok.)
- 35L40 General theory of hyperbolic systems of first-order PDE ( 0 Dok.)
- 35L45 Initial value problems for hyperbolic systems of first-order PDE ( 0 Dok.)
- 35L50 Boundary value problems for hyperbolic systems of first-order PDE ( 2 Dok.)
- 35L55 Hyperbolic systems of higher-order PDE ( 0 Dok.)
- 35L60 Nonlinear first-order PDE of hyperbolic type ( 0 Dok.)
- 35L65 Conservation laws ( 0 Dok.)
- 35L67 Shocks and singularities ( 0 Dok.)
- 35L70 Nonlinear second-order PDE of hyperbolic type ( 0 Dok.)
- 35L75 Nonlinear hyperbolic PDE of higher (gtr 2) order ( 0 Dok.)
- 35L80 Hyperbolic PDE of degenerate type ( 0 Dok.)
- 35L82 Pseudohyperbolic equations ( 0 Dok.)
- 35L85 Unilateral problems; variational inequalities for hyperbolic PDE ( 0 Dok.)
- 35L90 Abstract hyperbolic evolution equations ( 0 Dok.)
- 35L99 None of the above, but in this section ( 0 Dok.)
- 35Lxx Partial differential equations of hyperbolic type ( 3 Dok. )
- 35M10 PDE of mixed type ( 0 Dok.)
- 35M20 PDE of composite type ( 0 Dok.)
- 35M99 None of the above, but in this section ( 0 Dok.)
- 35Mxx Partial differential equations of special type (mixed, composite, etc.) ( 0 Dok. )
- 35N05 Overdetermined systems with constant coefficients ( 0 Dok.)
- 35N10 Overdetermined systems with variable coefficients (general) ( 0 Dok.)
- 35N15 overlinepartial-Neumann problem and generalizations; formal complexes ( 0 Dok.)
- 35N99 None of the above, but in this section ( 0 Dok.)
- 35Nxx Overdetermined systems ( 0 Dok. )
- 35P05 General spectral theory of PDE ( 0 Dok.)
- 35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO ( 0 Dok.)
- 35P15 Estimation of eigenvalues, upper and lower bounds ( 1 Dok.)
- 35P20 Asymptotic distribution of eigenvalues and eigenfunctions for PDO ( 0 Dok.)
- 35P25 Scattering theory for PDE ( 0 Dok.)
- 35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO ( 0 Dok.)
- 35P99 None of the above, but in this section ( 0 Dok.)
- 35Pxx Spectral theory and eigenvalue problems for partial differential operators ( 1 Dok. )
- 35Q05 Euler-Poisson-Darboux equation and generalizations ( 0 Dok.)
- 35Q15 Riemann-Hilbert problems ( 0 Dok.)
- 35Q30 Stokes and Navier-Stokes equations ( 0 Dok.)
- 35Q35 Other equations arising in fluid mechanics ( 0 Dok.)
- 35Q40 Equations from quantum mechanics ( 0 Dok.)
- 35Q51 Solitons ( 0 Dok.)
- 35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) ( 0 Dok.)
- 35Q55 NLS-like (nonlinear Schrödinger) equations ( 0 Dok.)
- 35Q58 Other completely integrable equations ( 0 Dok.)
- 35Q60 Equations of electromagnetic theory and optics ( 0 Dok.)
- 35Q72 Other equations from mechanics ( 0 Dok.)
- 35Q75 PDE in relativity ( 0 Dok.)
- 35Q80 Applications of PDE in areas other than physics ( 0 Dok.)
- 35Q99 None of the above, but in this section ( 0 Dok.)
- 35Qxx Equations of mathematical physics and other areas of application ( 0 Dok. )
- 35R05 PDE with discontinuous coefficients or data ( 0 Dok.)
- 35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments ( 0 Dok.)
- 35R12 Impulsive partial differential equations ( 0 Dok.)
- 35R15 Partial differential equations on infinite-dimensional (e.g. function) spaces (=PDE in infinitely many variables) ( 0 Dok.)
- 35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) ( 0 Dok.)
- 35R25 Improperly posed problems for PDE ( 0 Dok.)
- 35R30 Inverse problems (undetermined coefficients, etc.) for PDE ( 1 Dok.)
- 35R35 Free boundary problems for PDE ( 0 Dok.)
- 35R45 Partial differential inequalities ( 0 Dok.)
- 35R50 Partial differential equations of infinite order ( 0 Dok.)
- 35R60 Partial differential equations with randomness ( 0 Dok.)
- 35R70 PDE with multivalued right-hand sides ( 0 Dok.)
- 35R99 None of the above, but in this section ( 0 Dok.)
- 35Rxx Miscellaneous topics involving partial differential equations ( 1 Dok. )
- 35S05 General theory of PsDO ( 0 Dok.)
- 35S10 Initial value problems for PsDO ( 0 Dok.)
- 35S15 Boundary value problems for PsDO ( 0 Dok.)
- 35S30 Fourier integral operators ( 0 Dok.)
- 35S35 Topological aspects: intersection cohomology, stratified sets, etc. ( 0 Dok.)
- 35S50 Paradifferential operators ( 0 Dok.)
- 35S99 None of the above, but in this section ( 0 Dok.)
- 35Sxx Pseudodifferential operators and other generalizations of partial differential operators ( 0 Dok. )
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Letzte Änderung:
14.07.10 |