Biblioteca Dr. Antonio Monteiro · Catálogo | |
35 | 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 | ||
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) | ||
35A | 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 | ||
35A18 | Wave front sets | ||
35A20 | Analytic methods, singularities | ||
35A21 | Propagation of singularities | ||
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 | ||
35B | 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 | ||
35B34 | Resonances | ||
35B35 | Stability, boundedness | ||
35B37 | PDE in connection with control problems [See also 49J20, 49K20, 93C20] | ||
35B38 | Critical points | ||
35B40 | Asymptotic behavior of solutions | ||
35B41 | Attractors | ||
35B42 | Inertial manifolds | ||
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 | ||
35C | 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 | ||
35D | 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 | ||
35E | 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 | ||
35F | 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 | ||
35G | 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 | ||
35H | Close-to-elliptic equations and systems | ||
35H10 | Hypoelliptic equations | ||
35H20 | Subelliptic equations | ||
35H30 | Quasi-elliptic equations | ||
35H99 | None of the above, but in this section | ||
35J | 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 | ||
35K | Parabolic equations and systems [See also 35Bxx, 35Dxx, 35R30, 35R35, 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 | ||
35K99 | None of the above, but in this section | ||
35L | 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 ($\gtr 2$) order | ||
35L80 | Hyperbolic PDE of degenerate type | ||
35L82 | Pseudohyperbolic equations | ||
35L85 | Unilateral problems; variational inequalities for hyperbolic PDE [See also 35R35, 49J40] | ||
35L90 | Abstract hyperbolic evolution equations | ||
35L99 | None of the above, but in this section | ||
35M | 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 | ||
35N | Overdetermined systems [See also 58Hxx, 58Jxx, 58J10, 58J15] | ||
35N05 | Overdetermined systems with constant coefficients | ||
35N10 | Overdetermined systems with variable coefficients (general) | ||
35N15 | $\overline\partial$-Neumann problem and generalizations; formal complexes [See also 32W05, 32W10, 58J10] | ||
35N99 | None of the above, but in this section | ||
35P | Spectral theory and eigenvalue problems for partial [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 | ||
35Q | 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 | ||
35R | 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 | ||
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 | ||
35S | 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 |
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