## Found 208 Documents (Results 1–100)

100
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### On hyperbolicity and Gevrey well-posedness. III: A model of weakly hyperbolic systems. (English)Zbl 1466.35073

MSC:  35B65 35C10 35L60
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### An inverse random source problem for Maxwell’s equations. (English)Zbl 1453.78006

MSC:  78A46 65C30
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### Microlocal solvability and subellipticity of several classes of pseudodifferential operators with involutive characteristics. (English)Zbl 1390.35445

Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 171-184 (2017).
MSC:  35S05
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### On generalized Bohr-Sommerfeld quantization rules for operators with PT symmetry. (English. Russian original)Zbl 1348.81277

Math. Notes 99, No. 5, 676-684 (2016); translation from Mat. Zametki 99, No. 5, 673-683 (2016).
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### Repeated quantization method and its applications to the construction of asymptotics of solutions of equations with degeneration. (English. Russian original)Zbl 1342.34068

Differ. Equ. 52, No. 1, 58-75 (2016); translation from Differ. Uravn. 52, No. 1, 60-77 (2016).
MSC:  34D05 34A30
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### Computation of the asymptotics of solutions for equations with polynomial degeneration of the coefficients. (English. Russian original)Zbl 1338.35103

Differ. Equ. 51, No. 12, 1589-1594 (2015); translation from Differ. Uravn. 51, No. 12, 1612-1617 (2015).
MSC:  35C20 35A20
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### Extending the Zolotarev-Frobenius approach to quadratic reciprocity. (English)Zbl 1395.11013

MSC:  11A15 13F05 13F10
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### Characteristic integrals in 3D and linear degeneracy. (English)Zbl 1420.35017

MSC:  35A30 37K10
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### Spectral theoretic characterization of the massless Dirac operator. (English)Zbl 1317.35157

MSC:  35P20 35J46 35Q41
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### Symplectic inverse spectral theory for pseudodifferential operators. (English)Zbl 1277.47065

van den Ban, Erik P. (ed.) et al., Geometric aspects of analysis and mechanics. In honor of the 65th birthday of Hans Duistermaat. Basel: Birkhäuser (ISBN 978-0-8176-8243-9/hbk; 978-0-8176-8244-6/ebook). Progress in Mathematics 292, 353-372 (2011).
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### On the principal symbols of $$K_C$$-invariant differential operators on Hermitian symmetric spaces. (English)Zbl 1226.22019

MSC:  22E47 17B45
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MSC:  47L80
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### Microlocal analysis. (English)Zbl 1184.81091

Bär, Christian (ed.) et al., Quantum field theory on curved spacetimes. Concepts and mathematical foundations. Extended lecture notes of the compact course quantum field theory on curved spacetimes, Potsdam, Germany, October 2007. Berlin: Springer (ISBN 978-3-642-02779-6/hbk; 978-3-642-02780-2/ebook). Lecture Notes in Physics 786, 85-127 (2009).
MSC:  81S30 81T05 81T20
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### On the local existence of one Calabi-type curvature flow. (Chinese. English summary)Zbl 1109.53068

MSC:  53C44 53C21

### Notes on the local solvability for partial differential equations with multiple characteristics in mixed Gevrey- $$C^{\infty}$$ spaces. (English)Zbl 1087.35098

MSC:  35S05 35S15

### On odd Laplace operators. II. (English)Zbl 1075.58018

Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov’s seminar held in Moscow, Russia, 2002–2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3613-7/hbk). Translations. Series 2. American Mathematical Society. 212. Advances in the Mathematical Sciences 55, 179-205 (2004).
MSC:  58J60
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### Algebras of pseudodifferential operators on complete manifolds. (English)Zbl 1068.58015

MSC:  58J40 47G30
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### Cauchy constraints and particle content of fourth-order gravity in $$n$$ dimensions. (English)Zbl 1033.83025

MSC:  83D05 83C05 83E15
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### A calculus for a class of finitely degenerate pseudodifferential operators. (English)Zbl 1071.35131

Picard, Rainer (ed.) et al., Evolution equations. Propagation phenomena, global existence, influence on non-linearities. Based on the workshop, Warsaw, Poland, July 1–July 7, 2001. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 60, 161-189 (2003).

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### Remarks on Gårding inequalities for differential operators. (English)Zbl 1050.35162

MSC:  35S15 35S50 35G05
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### Symbols for semilinear wave equation with conormal Cauchy datas singular at a point. (English)Zbl 1011.35098

Sunada, Toshikazu (ed.) et al., Proceedings of the third Asian mathematical conference 2000, University of the Philippines, Diliman, Philippines, October 23-27, 2000. Singapore: World Scientific. 444-450 (2002).
MSC:  35L70 35A20 35L15

### Star representation for $$SU(1,n)$$. (English)Zbl 1019.22009

Bajo, Ignacio (ed.) et al., Proceedings of the 1st colloquium on Lie theory and applications, Universidade de Vigo, Vigo, Spain, July 17-22, 2000. Vigo: Universidade de Vigo, Servicio de Publicacións. Colecc. Congr. 35, 171-182 (2002).
Reviewer: A.A.Bogush (Minsk)
MSC:  22E46 22E60 22F05

### Lectures in differential geometry. (Lektsii po differentsial’noj geometrii.) (Russian)Zbl 1066.53001

Izhevsk: Institut Komp’yuternykh Issledovanij (ISBN 5-93972-105-2). 176 p. (2002).

### Non-uniqueness of the Cauchy problem for quasi-homogeneous differential operators. (Non-unicité du problème de Cauchy pour des opérateurs différentiels quasi-homogènes.) (French)Zbl 1034.35004

MSC:  35A07 35G05
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### Necessary and sufficient condition for existence and uniqueness of the solution of Cauchy problem for holomorphic Fuchsian operators. (English)Zbl 0991.35003

MSC:  35A10 58A99
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### A semi-classical trace formula for several commuting operators. (English)Zbl 0927.35138

Reviewer: L.Rodino (Torino)
MSC:  35S05 35Q40 81Q20
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### Regularity of solutions of initial boundary value problems for symmetric hyperbolic systems with boundary characteristic of constant multiplicity. (English)Zbl 0940.35129

MSC:  35L50 35B65

### Averaging for operators with complex symbols. (Moyennisation pour des opérateurs à symboles complexes.) (French. English summary)Zbl 0921.35200

MSC:  35S05 47G30
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### Trace theorems for pseudo-differential operators. (English)Zbl 0908.35145

MSC:  35S05 58J40 47G30
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### Necessary and sufficient conditions for the almost-positivity of certain 4th-order pseudodifferential operators. A generalization. (English)Zbl 0927.35140

Reviewer: L.Rodino (Torino)
MSC:  35S05
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### Cauchy, Dirichlet, and some inverse problems for the one-velocity Peierls equation of the theory of radiation transmission in a homogeneously absorbing and scattering medium with isotropic sources. (English. Russian original)Zbl 0963.82042

Dokl. Math. 55, No. 1, 132-135 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 352, No. 2, 176-179 (1997).
MSC:  82C70 85A25 35Q82 47N55

### An index formula for elliptic systems in the plane. (English)Zbl 0895.35031

MSC:  35J55 35J40 15A22
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### Uniqueness of the Cauchy problem for elliptic operators with fourfold characteristics of constant multiplicity. (English)Zbl 0888.35033

MSC:  35J30 35S05
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### An application of the almost-positivity of a class of fourth-order pseudodifferential operators. (English)Zbl 0883.35139

Reviewer: L.Rodino (Torino)
MSC:  35S05 47F05
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### A Carleman estimate for degenerate elliptic operators with an application to an ill-posed problem. (English)Zbl 0877.35051

MSC:  35J70 35R25

### Linear partial differential equations with multiple involutive characteristics. (English)Zbl 0884.35184

Rodino, Luigi (ed.), Microlocal analysis and spectral theory. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Castelvecchio Pascoli (Lucca), Italy, 23 September–3 October 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 490, 1-38 (1997).
MSC:  35S05 58J47 35A27

### Subprincipal terms in Szegö estimates. (English)Zbl 0881.58064

Reviewer: B.Helffer (Orsay)
MSC:  58J40 35P20 58J50
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### Schwinger terms and cohomology of pseudodifferential operators. (English)Zbl 0853.35140

Reviewer: L.Rodino (Torino)
MSC:  35S05 81R10 47G30
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### Un opérateur pour la théorie des fissures. (On the operator of the theory of cracks.) (English. Abridged French version)Zbl 0913.73057

MSC:  74R99 35Q72

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### A result on the well posedness of the Cauchy problem for a class of hyperbolic operators with double characteristics. (English)Zbl 0836.47037

MSC:  47F05 35L15 47N20
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### Periodic magnetic Schrödinger equation with symmetry of order six: Spectral measure. II. (Équation de Schrödinger magnétique périodique avec symétrie d’ordre six: Mesure du spectre. II.) (French)Zbl 0826.35147

Reviewer: B.Helffer (Orsay)
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### On invariants of differential operators with multiple characteristics. (English)Zbl 0916.35148

MSC:  35S15 35A27 47G30

### Resonances of diatomic molecules in the Born-Oppenheimer approximation. (English)Zbl 0826.35148

Reviewer: B.Helffer (Orsay)
MSC:  35S05 81Q05 35P20
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### Nonsolvability in $$L^ 2$$ for a first order operator satisfying condition $$(\psi)$$. (English)Zbl 0818.35152

Reviewer: L.Rodino (Torino)
MSC:  35S05 47G30
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### $$h$$-pseudodifferential operators with periodic flow. (Opérateurs $$h$$-pseudodifférentiels à flot périodique.) (French)Zbl 0874.35139

MSC:  35S05 81Q20 35Q40
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### Parametrix for mixed problem with nonhomogeneous boundary condition for wave equation. (English)Zbl 0830.35153

MSC:  35S30 35L05

### Regularized determinants for pseudodifferential operators in vector bundles over $$S^ 1$$. (English)Zbl 0784.35126

MSC:  35S05 34L05
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MSC:  55N15
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### Removable singularities of a class of fully nonlinear partial differential equations. (English)Zbl 0816.35162

MSC:  35S50 35A27 35G20
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### A symbolic calculus for layer potentials on $$C^ 1$$ curves and $$C^ 1$$ curvilinear polygons. (English)Zbl 0723.35088

Reviewer: C.Zuily (Orsay)
MSC:  35S05 45E05
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### Parametrix construction for a class of subelliptic differential operators. (English)Zbl 0777.35002

MSC:  35A08 35D10 35S05 42B20 46B70
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### Characteristic sets of differential operators of infinite order. (English)Zbl 0978.35105

Berenstein, Carlos A. (ed.) et al., Geometrical and algebraical aspects in several complex variables. Papers from the conference, Cetraro, Italy, June 1989. Rende: Editoria Elettronica, Semin. Conf. 8, 1-11 (1991).

### On the uniqueness of solution to the Cauchy problem for elliptic equations in two variables. (English)Zbl 0781.35012

MSC:  35J40 35A30 35S05
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### Propagation of singularities for a class of hyperbolic operators with triple characteristics. (English)Zbl 0735.35087

Reviewer: V.Ivrii
MSC:  35L25 35B99
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### Strong uniqueness theorems for second order elliptic differential equations. (English)Zbl 0734.35012

MSC:  35B60 35J15 35R45
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### Influence of lower order pseudodifferential terms on the solvability of degenerate elliptic equations. (English. Russian original)Zbl 0733.35046

Lith. Math. J. 30, No. 2, 179-184 (1990); translation from Lit. Mat. Sb. 30, No. 2, 416-422 (1990).
MSC:  35J70 35S15
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### Propagation of microlocal smoothness of solutions of boundary-value problems for a second-order hyperbolic equation. (English. Russian original)Zbl 0729.35003

Differ. Equations 26, No. 4, 511-516 (1990); translation from Differ. Uravn. 26, No. 4, 692-699 (1990).

### On the local insolvability for a class of P.D.O. with multiple characteristics. (English. Russian original)Zbl 0726.35148

Mosc. Univ. Math. Bull. 45, No. 2, 38-40 (1990); translation from Vestn. Mosk. Univ., Ser. I 1990, No. 2, 61-64 (1990).
MSC:  35S05

### On multiple minimality of a part of the system of root vectors of certain operator-valued functions. (English. Russian original)Zbl 0715.47035

Sov. Math., Dokl. 41, No. 1, 45-49 (1990); translation from Dokl. Akad. Nauk SSSR 310, No. 2, 276-280 (1990).
Reviewer: M.A.Kaashoek
MSC:  47G20 47A70

### Uniform asymptotics of the spectral function for some globally elliptic operators and periodic bicharacteristics. (English)Zbl 0713.35107

MSC:  35S05 35J15 35P20

### Boundary element methods for elliptic problems. (English)Zbl 0712.65099

Mathematical theory of finite and boundary element methods, Lect. Notes, Düsseldorf/Ger. 1987, DMV Semin. 15, 219-276 (1990).
Reviewer: C.I.Gheorghiu

### On the extension of microlocal smoothness of the solutions of boundary value problems for a second order hyperbolic equation. (Russian)Zbl 0712.35006

Reviewer: I.E.Tralle

### Order exact estimates for the eigen- and associated functions of an elliptic operator and for their derivatives. (English. Russian original)Zbl 0702.35183

Differ. Equations 26, No. 1, 77-83 (1990); translation from Differ. Uravn. 26, No. 1, 85-93 (1990).
Reviewer: V.Ya.Ivrij
MSC:  35P05 35J30

### The Kubota symbol for $$\mathrm{Sp}(4,\mathbb Q(i))$$. (English)Zbl 0686.10020

Nagoya Math. J. 119, 173-188 (1990).
Reviewer: D.Bump
MSC:  11F27 11F70
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### Approximation in Sobolev spaces by solutions of elliptic systems. (English. Russian original)Zbl 0803.46038

Sov. Math., Dokl. 42, No. 3, 902-907 (1991); translation from Dokl. Akad. Nauk SSSR 315, No. 6, 1308-1313 (1990).
Reviewer: A.Pryde (Clayton)
MSC:  46E35 41A30 35J45

### Uniform asymptotics of the spectral function for a perturbed harmonic oscillator and equiconvergence of series with respect to the eigenfunctions. (Russian. English summary)Zbl 0811.47051

MSC:  47G30 47A70 35S05

### Propagation de la régularité microlocale pour des problèmes de Dirichlet non linéaires d’ordre deux. (Propagation of microlocal regularity for nonlinear Dirichlet problems of the second order). (French)Zbl 0726.35026

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1989, Exp. No. 20, 8 p. (1989).
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### On the microlocal smoothing effect of dispersive partial differential equations. I: Second-order linear equations. (English)Zbl 0683.35010

Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 2, 911-926 (1989).
Reviewer: S.Dimiev
MSC:  35B65 35S10 35G10

### On local solvability in Gevrey classes of linear partial differential operators with multiple characteristics. (English)Zbl 0668.35002

Reviewer: A.Corli
MSC:  35A07 35A30 35G05
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### Sur la réduction de fonctions analytiques qui ne sont pas en involution. (Reduction of analytic functions which are not in involution). (French)Zbl 0726.35004

MSC:  35A27 35A20 58J47

### Une classe d’opérateurs hyperboliques à caractéristiques multiples. (A class of hyperbolic operators with multiple characteristics). (French)Zbl 0724.35117

Recent developments in hyperbolic equations, Proc. Conf., Pisa/Italy 1987, Pitman Res. Notes Math. Ser. 183, 240-254 (1988).
MSC:  35S05 35L30 35A30

### Problème de Cauchy ramifié: Opérateurs a caractéristiques tangentes ayant un contact d’ordre constant. (Ramified Cauchy problem: Operators with tangential characteristics having a contact of constant order). (French)Zbl 0722.35098

Recent developments in hyperbolic equations, Proc. Conf., Pisa/Italy 1987, Pitman Res. Notes Math. Ser. 183, 367-385 (1988).
MSC:  35S10 35L15 35B99

### On the Levi condition. (English)Zbl 0698.35090

Calcul d’opérateurs et fronts d’ondes, Expo. Sémin. Vaillant, Paris/Fr., Trav. Cours 29, 39-64 (1988).
Reviewer: A.Kaneko
MSC:  35L30 35A05

### Secondary invariants for elliptic operators and operator algebras. (English)Zbl 0692.46061

Operator algebras and application. Vol. 1: Structure theory; K-theory, geometry and topology, Pap. UK-US Jt. Semin., Warwick/UK 1987, Lond. Math. Soc. Lect. Note Ser. 135, 119-126 (1988).
Reviewer: H.Halpern
MSC:  46L80

### Sufficiency of condition ($$\psi$$ ) for local solvability in two dimensions. (English)Zbl 0682.35112

Reviewer: L.Rodino
MSC:  35S05 35A07
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### Hypoellipticity of nonlinear second order partial differential equations. (English)Zbl 0679.35022

Reviewer: C.Zuily
MSC:  35H10 35J60 35B65

### On a class of hyperbolic operators with double characteristics. (English)Zbl 0677.47031

Calculus of variations and partial differential equations, Proc. Conf., Trento/Italy 1986, Lect. Notes Math. 1340, 23-30 (1988).
MSC:  47Gxx 35S05

### Conditions de Levi pour le problème de Cauchy pour une classe d’équations hyperboliques à caractéristique triples. (Levi conditions for the Cauchy problem of a class of hyperbolic equations with triple characteristics). (French)Zbl 0676.35053

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1988, Exp. No. 4, 7 p. (1988).
Reviewer: P.Godin
MSC:  35L30 35A30 35A05
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### A linearised inverse problem for the wave equation. (English)Zbl 0671.35078

Reviewer: G.Anger
MSC:  35R30 35L20 35S15
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### On the propagation of polarization in conical refraction. (English)Zbl 0669.35116

Reviewer: J.Janas
MSC:  35S05 58J40 35A20
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### Localization and propagation of analytic singularities for operators with constant coefficients. (English)Zbl 0664.35007

Reviewer: S.G.Krantz
MSC:  35E20 35A20
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### Parabolic pseudodifferential equations with homogeneous symbols. (English. Russian original)Zbl 0661.35091

Sov. Math., Dokl. 36, No. 3, 493-497 (1988); translation from Dokl. Akad. Nauk SSSR 297, 534-538 (1987).
MSC:  35S10 35A08

### Microlocal analysis for inhomogeneous Gevrey classes. (English)Zbl 0659.35112

Partial differential equations, Proc. Lat. Am. Sch. Math., ELAM-8, Rio de Janeiro/Braz. 1986, Lect. Notes Math. 1324, 270-285 (1988).
Reviewer: S.Chen
MSC:  35S05 35A27

### Toeplitz operators and the eta invariant: The case of $$S^ 1$$. (English)Zbl 0658.47027

Index theory of elliptic operators, foliations, and operator algebras, Proc. AMS Spec. Sess. 1986, Contemp. Math. 70, 11-41 (1988).
Reviewer: N.K.Karapetjanc
MSC:  47B35 58J22

### Geometric results for a class of hyperbolic operators with double characteristics. (English)Zbl 0646.35051

Reviewer: A.Tsutsumi
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### Calcul symbolique non linéaire pour une onde conormale simple. (Nonlinear symbolic calculus for a simple conormal wave). (French)Zbl 0646.35012

Reviewer: A.Piriou
MSC:  35G20 35B40 47F05
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### Propagation of analytic singularities up to non smooth boundary. (English)Zbl 0666.58043

Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1987, Exp. No. 7, 9 p. (1987).
Reviewer: M.Novickij
MSC:  58J47
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### On a class of partially hypoelliptic microdifferential equations. (English)Zbl 0665.35017

Reviewer: N.Tose
MSC:  35H10 35A27 35A20
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