La Classification Mathématique par matières 2000
Mathematics subject Classification 2000
Query : CC = 35
35-XX Partial differential equations
- 35-00 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 least one classification number from Section 01)
- 35-04 Explicit machine computation and programs (not the theory of computation or programming)
- 35-06 Proceedings, conferences, collections, etc.
- 35-99 Partial differential equations (not classified at a more specific level)
- 35Axx General theory
- 35A05 General existence and uniqueness theorems
- 35A07 Local existence and uniqueness theorems [See also 35Hxx, 35Sxx]
- 35A08 Fundamental solutions
- 35A10 Cauchy-Kovalevskaya theorems
- 35A15 Variational methods
- 35A17 Parametrices
[New MSC 2000 code]
- MSC 1991 code in relation :
35A99
- 35A18 Wave front sets
[New MSC 2000 code]
- MSC 1991 code in relation :
35A99
- 35A20 Analytic methods, singularities
- 35A21 Propagation of singularities
[New MSC 2000 code]
- MSC 1991 codes in relation :
35A20, 35A21
- 35A22 Transform methods (e.g. integral transforms)
- 35A25 Other special methods
- 35A27 Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15]
- 35A30 Geometric theory, characteristics, transformations [See also 58J70, 58J72]
- 35A35 Theoretical approximation to solutions [For numerical analysis, see 65Mxx, 65Nxx]
- 35A99 None of the above, but in this section
- 35Bxx Qualitative properties of solutions
- 35B05 General behavior of solutions of PDE (comparison theorems; oscillation, zeros and growth of solutions; mean value theorems)
- 35B10 Periodic solutions
- 35B15 Almost periodic solutions
- 35B20 Perturbations
- 35B25 Singular perturbations
- 35B27 Homogenization; partial differential equations in media with periodic structure [See also 74Qxx, 76M50]
- 35B30 Dependence of solutions of PDE on initial and boundary data, parameters [See also 37Cxx]
- 35B32 Bifurcation [See also 37Gxx, 37K50]
- 35B33 Critical exponents
[New MSC 2000 code]
- MSC 1991 code in relation :
35B99
- 35B34 Resonances
[New MSC 2000 code]
- MSC 1991 code in relation :
35B99
- 35B35 Stability, boundedness
- 35B37 PDE in connection with control problems [See also 49J20, 49K20, 93C20]
- 35B38 Critical points
[New MSC 2000 code]
- 35B40 Asymptotic behavior of solutions
- 35B41 Attractors
[New MSC 2000 code]
- MSC 1991 codes in relation :
35B99, 58F12
- 35B42 Inertial manifolds
[New MSC 2000 code]
- MSC 1991 code in relation :
35B99
- 35B45 A priori estimates
- 35B50 Maximum principles
- 35B60 Continuation and prolongation of solutions of PDE [See also 58A15, 58A17, 58Hxx]
- 35B65 Smoothness and regularity of solutions of PDE
- 35B99 None of the above, but in this section
- 35Cxx Representations of solutions
- 35C05 Solutions in closed form
- 35C10 Series solutions, expansion theorems
- 35C15 Integral representations of solutions of PDE
- 35C20 Asymptotic expansions
- 35C99 None of the above, but in this section
- 35Dxx Generalized solutions of partial differential equations
- 35D05 Existence of generalized solutions
- 35D10 Regularity of generalized solutions
- 35D99 None of the above, but in this section
- 35Exx Equations and systems with constant coefficients [See also 35N05]
- 35E05 Fundamental solutions
- 35E10 Convexity properties
- 35E15 Initial value problems
- 35E20 General theory
- 35E99 None of the above, but in this section
- 35Fxx General first-order equations and systems
- 35F05 General theory of linear first-order PDE
- 35F10 Initial value problems for linear first-order PDE, linear evolution equations
- 35F15 Boundary value problems for linear first-order PDE
- 35F20 General theory of nonlinear first-order PDE
- 35F25 Initial value problems for nonlinear first-order PDE, nonlinear evolution equations
- 35F30 Boundary value problems for nonlinear first-order PDE
- 35F99 None of the above, but in this section
- 35Gxx General higher-order equations and systems
- 35G05 General theory of linear higher-order PDE
- 35G10 Initial value problems for linear higher-order PDE, linear evolution equations
- 35G15 Boundary value problems for linear higher-order PDE
- 35G20 General theory of nonlinear higher-order PDE
- 35G25 Initial value problems for nonlinear higher-order PDE, nonlinear evolution equations
- 35G30 Boundary value problems for nonlinear higher-order PDE
- 35G99 None of the above, but in this section
- 35Hxx Close-to-elliptic equations
- 35H10 Hypoelliptic equations
[New MSC 2000 code]
- MSC 1991 code in relation :
35H05
- 35H20 Subelliptic equations
[New MSC 2000 code]
- MSC 1991 code in relation :
35H05
- 35H30 Quasi-elliptic equations
[New MSC 2000 code]
- MSC 1991 code in relation :
35H05
- 35H99 None of the above, but in this section
[New MSC 2000 code]
- MSC 1991 code in relation :
35H05
- 35Jxx Partial differential equations of elliptic type [See also 58Jxx, 58J10, 58J20]
- 35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation [See also 31Axx, 31Bxx]
- 35J10 Schrödinger operator [See also 35Pxx]
- 35J15 General theory of second-order, elliptic equations
- 35J20 Variational methods for second-order, elliptic equations
- 35J25 Boundary value problems for second-order, elliptic equations
- 35J30 General theory of higher-order, elliptic equations [See also 31A30, 31B30]
- 35J35 Variational methods for higher-order, elliptic equations
- 35J40 Boundary value problems for higher-order, elliptic equations
- 35J45 General theory of elliptic systems of PDE
- 35J50 Variational methods for elliptic systems
- 35J55 Boundary value problems for elliptic systems
- 35J60 Nonlinear PDE of elliptic type
- 35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE
- 35J67 Boundary values of solutions to elliptic PDE
- 35J70 Elliptic partial differential equations of degenerate type
- 35J85 Unilateral problems and variational inequalities for elliptic PDE [See also 35R35, 49J40]
- 35J99 None of the above, but in this section
- 35Kxx Parabolic equations and systems [See also 58J35]
- 35K05 Heat equation
- 35K10 General theory of second-order, parabolic equations
- 35K15 Initial value problems for second-order, parabolic equations
- 35K20 Boundary value problems for second-order, parabolic equations
- 35K25 General theory of higher-order, parabolic equations
- 35K30 Initial value problems for higher-order, parabolic equations
- 35K35 Boundary value problems for higher-order, parabolic equations
- 35K40 General theory of parabolic systems of PDE
- 35K45 Initial value problems for parabolic systems
- 35K50 Boundary value problems for parabolic systems
- 35K55 Nonlinear PDE of parabolic type
- 35K57 Reaction-diffusion equations
- 35K60 Nonlinear boundary value problems for linear parabolic PDE; boundary value problems for nonlinear parabolic PDE
- 35K65 Parabolic partial differential equations of degenerate type
- 35K70 Ultraparabolic, pseudoparabolic PDE, etc.
- 35K85 Unilateral problems and variational inequalities for parabolic PDE [See also 35R35, 49J40]
- 35K90 Abstract parabolic evolution equations
[New MSC 2000 code]
- 35K99 None of the above, but in this section
- 35Lxx Partial differential equations of hyperbolic type [See also 58J45]
- 35L05 Wave equation
- 35L10 General theory of second-order, hyperbolic equations
- 35L15 Initial value problems for second-order, hyperbolic equations
- 35L20 Boundary value problems for second-order, hyperbolic equations
- 35L25 General theory of higher-order, hyperbolic equations
- 35L30 Initial value problems for higher-order, hyperbolic equations
- 35L35 Boundary value problems for higher-order, hyperbolic equations
- 35L40 General theory of hyperbolic systems of first-order PDE
- 35L45 Initial value problems for hyperbolic systems of first-order PDE
- 35L50 Boundary value problems for hyperbolic systems of first-order PDE
- 35L55 Hyperbolic systems of higher-order PDE
- 35L60 Nonlinear first-order PDE of hyperbolic type
- 35L65 Conservation laws
- 35L67 Shocks and singularities [See also 58Kxx, 76L05]
- 35L70 Nonlinear second-order PDE of hyperbolic type
- 35L75 Nonlinear hyperbolic PDE of higher ( > 2) order
- 35L80 Hyperbolic PDE of degenerate type
- 35L82 Pseudohyperbolic equations
[New MSC 2000 code]
- MSC 1991 code in relation :
35L99
- 35L85 Unilateral problems; variational inequalities for hyperbolic PDE [See also 35R35, 49J40]
- 35L90 Abstract hyperbolic evolution equations
[New MSC 2000 code]
- 35L99 None of the above, but in this section
- 35Mxx Partial differential equations of special type (mixed, composite, etc.) [For degenerate types, see 35J70, 35K65, 35L80]
- 35M10 PDE of mixed type
- 35M20 PDE of composite type
- 35M99 None of the above, but in this section
- 35Nxx Overdetermined systems [See also 58Hxx, 58Jxx, 58J10, 58J15]
- 35N05 Overdetermined systems with constant coefficients
- 35N10 Overdetermined systems with variable coefficients (general)
- 35N15
 -Neumann problem and generalizations; formal complexes [See also 32W05, 32W10, 58J10]
- 35N99 None of the above, but in this section
- 35Pxx Spectral theory and eigenvalue problems for partial differential operators [See also 47Axx, 47Bxx, 47F05]
- 35P05 General spectral theory of PDE
- 35P10 Completeness of eigenfunctions, eigenfunction expansions for PDO
- 35P15 Estimation of eigenvalues, upper and lower bounds
- 35P20 Asymptotic distribution of eigenvalues and eigenfunctions for PDO
- 35P25 Scattering theory for PDE [See also 47A40]
- 35P30 Nonlinear eigenvalue problems, nonlinear spectral theory for PDO
- 35P99 None of the above, but in this section
- 35Qxx Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05]
- 35Q05 Euler-Poisson-Darboux equation and generalizations
- 35Q15 Riemann-Hilbert problems [See also 30E25, 31A25, 31B20]
- 35Q30 Stokes and Navier-Stokes equations [See also 76D05, 76D07, 76N10]
- 35Q35 Other equations arising in fluid mechanics
- 35Q40 Equations from quantum mechanics
- 35Q51 Solitons [See also 37K40]
- 35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.) [See also 37K10]
- 35Q55 NLS-like (nonlinear Schrödinger) equations [See also 37K10]
- 35Q58 Other completely integrable equations [See also 37J35, 37K10]
- 35Q60 Equations of electromagnetic theory and optics
- 35Q72 Other equations from mechanics
- 35Q75 PDE in relativity
- 35Q80 Applications of PDE in areas other than physics
- 35Q99 None of the above, but in this section
- 35Rxx Miscellaneous topics involving partial differential equations [For equations on manifolds, see 58Jxx; for manifolds of solutions, see 58Bxx; for stochastic PDEs, see also 60H15]
- 35R05 PDE with discontinuous coefficients or data
- 35R10 Partial functional-differential or differential-difference equations, with or without deviating arguments
- 35R12 Impulsive partial differential equations
[New MSC 2000 code]
- 35R15 Partial differential equations on infinite-dimensional (e.g. function) spaces (=PDE in infinitely many variables) [See also 46Gxx, 58D25]
- 35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) [See also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx]
- 35R25 Improperly posed problems for PDE
- 35R30 Inverse problems (undetermined coefficients, etc.) for PDE
- 35R35 Free boundary problems for PDE
- 35R45 Partial differential inequalities
- 35R50 Partial differential equations of infinite order
- 35R60 Partial differential equations with randomness [See also 60H15]
- 35R70 PDE with multivalued right-hand sides
- 35R99 None of the above, but in this section
- 35Sxx Pseudodifferential operators and other generalizations of partial differential operators [See also 47G30, 58J40]
- 35S05 General theory of PsDO
- 35S10 Initial value problems for PsDO
- 35S15 Boundary value problems for PsDO
- 35S30 Fourier integral operators
- 35S35 Topological aspects: intersection cohomology, stratified sets, etc. [See also 32C38, 32S40, 32S60, 58J15]
- 35S50 Paradifferential operators
- 35S99 None of the above, but in this section
Back to the Mathematics Subject Classification (version 2000)
|