## Found 90 Documents (Results 1–90)

100
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### Maximal regularity for fractional Cauchy equation in Hölder space and its approximation. (English)Zbl 07169916

MSC:  65J10 34G10 45L05
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### Well-posedness of the Cauchy problem for one class of neutral quasi-linear differential equation with distributed delay. (English)Zbl 1415.34125

MSC:  34K40 34K27
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### On the well-posedness of the Cauchy problem for a neutral differential equation with distributed prehistory. (English)Zbl 1375.34118

MSC:  34K40 34K27 34K20

MSC:  34K05
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### On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations. (English)Zbl 1358.34017

MSC:  34A12 34A30
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### On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of generalized ordinary differential equations. (English)Zbl 1413.34058

MSC:  34A12 34A30
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### Derivation of the cubic NLS and Gross-Pitaevskii hierarchy from manybody dynamics in $$d=3$$ based on spacetime norms. (English)Zbl 1338.35406

Reviewer: Ma Wen-Xiu (Tampa)
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### On a nonlocal hyperbolic conservation law arising from a gradient constraint problem. (English)Zbl 1255.35164

MSC:  35L65 35L03 35B35
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### Levi conditions to the Gevrey well-posedness for hyperbolic operators of higher order. (English)Zbl 1180.35367

MSC:  35L80 35L30
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### Semilinear Schrödinger equation with time dependent coefficients. (English)Zbl 1185.35255

MSC:  35Q55 35B45 81Q05
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MSC:  47H10

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### On the well-posedness of Riemann boundary value problems with matrix coefficient. (English. Russian original)Zbl 1157.45304

Dokl. Math. 75, No. 3, 358-360 (2007); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 414, No. 2, 156-158 (2007).
MSC:  45F15 30E25 47A68
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MSC:  35R25
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### On the Cauchy problem for some hyperbolic operator with double characteristics. (English)Zbl 1125.35056

Bove, Antonio (ed.) et al., Phase space analysis of partial differential equations. Basel: Birkhäuser (ISBN 978-0-8176-4511-3/hbk; 978-0-8176-4521-2/e-book). Progress in Nonlinear Differential Equations and Their Applications 69, 29-44 (2006).
MSC:  35L15 37J05

### Korteweg-de Vries and Benjamin-Ono equations on Zhidkov spaces. (English)Zbl 1107.35099

MSC:  35Q53 35A07 35A05 35B30

### Sharp energy estimates for a class of weakly hyperbolic operators. (English)Zbl 1109.35078

Reissig, Michael (ed.) et al., New trends in the theory of hyperbolic equations. Basel: Birkhäuser (ISBN 3-7643-7283-4/hbk). Operator Theory: Advances and Applications 159, 449-511 (2005).
MSC:  35L80 35L30 35S10

### Abstract Cauchy problems for quasi-linear evolution equations in the sense of Hadamard. (English)Zbl 1058.34079

MSC:  34G20 47D60 47D62
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### Necessary conditions for hyperbolic systems. II. (English)Zbl 1063.35107

MSC:  35L45 35R25

### Necessary conditions for hyperbolicity of first order systems. (English)Zbl 1036.35120

de Gosson, Maurice (ed.), Jean Leray ’99 conference proceedings. The Karlskrona conference, Sweden, August 1999 in honor of Jean Leray. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1378-7/hbk). Math. Phys. Stud. 24, 17-35 (2003).
MSC:  35L40 35L45 35R25

### Cauchy problem in generalized Gevrey classes. (English)Zbl 1024.35063

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, 269-278 (2003).
MSC:  35L40
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### Boltzmann equation for quantum particles and Fokker Planck approximation. (English)Zbl 1033.35092

Bemelmans, Josef (ed.) et al., Elliptic and parabolic problems. Proceedings of the 4th European conference, Rolduc, Netherlands, June 18–22, 2001 and Gaeta, Italy, September 24–28, 2001. Singapore: World Scientific (ISBN 981-238-045-0/hbk). 75-87 (2002).
MSC:  35Q40 81Q05 82C40

### Schrödinger equations and systems with characteristic roots of multiplicity two. (Équations et systèmes du type de Schrödinger à racines caractéristiques de multiplicité deux.) (French)Zbl 1028.35060

MSC:  35K45 35B45

### Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. (English)Zbl 1019.35001

Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. x, 294 p. (2002).
MSC:  35-02 35L65 35L67

### Cauchy problem for evolution equations of Schrödinger type. (English)Zbl 1056.35043

MSC:  35G10 35A20 35K30 35A07 35Q40
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### Decay of mass for a semilinear parabolic system. (English)Zbl 0999.35042

Benkirane, Abdelmoujib (ed.) et al., Partial differential equations. Proceedings of the international conference, Fez, Morocco. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 229, 63-71 (2002).
MSC:  35K45 35B40 35K55

MSC:  35A27
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### Weakly hyperbolic equations of second order and ultradifferentiable functions. (Équations faiblement hyperboliques du deuxième ordre et classes de fonctions ultradifférentiables.) (French. English summary)Zbl 0973.35123

MSC:  35L15 26E10
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### Nonlinear weakly hyperbolic equations in Gevrey classes. (English)Zbl 0986.35144

Rodino, L. (ed.), Proceedings of the workshop on partial differential equations, Torino, Italy, May 8-10, 2000. Torino: Università di Torino, Dipartimento di Matematica, 19-26 (2000).
Reviewer: L.Rodino (Torino)
MSC:  35S05 35L99

### Handbook of multivalued analysis. Volume II: Applications. (English)Zbl 0943.47037

Mathematics and its Applications (Dordrecht). 500. Dordrecht: Kluwer Academic Publishers. xi, 926 p. (2000).
Reviewer: P.Zabreiko (Minsk)

### $$L_1$$ stability of conservation laws with coinciding Hugoniot and characteristic curves. (English)Zbl 0935.35090

MSC:  35L45 35L60 35L90
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### Gevrey solvability for semilinear partial differential equations with multiple characteristics. (English)Zbl 0924.35030

MSC:  35G25 35A07
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### Uniqueness problems for the Lamé system arising in the control of vibrations. (English)Zbl 1008.93048

Journées “Équations aux dérivées partielles”, Saint-Jean-de-Monts, France, 31 mai au 4 juin 1999. Exposés Nos. I–XIX. Nantes: Université de Nantes. Exp. No. XIX, 8 p. (1999).
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### Space-time estimates for null gauge forms and nonlinear Schrödinger equations. (English)Zbl 1008.35070

MSC:  35Q55 81Q05

### On a certain class of convex functions and the exact well-posedness classes of the Cauchy problem for the transport equation in Orlicz spaces. (English. Russian original)Zbl 0917.35090

Sib. Math. J. 39, No. 4, 716-734 (1998); translation from Sib. Mat. Zh. 39, No. 4, 831-850 (1998).
MSC:  35Q30 46E30 35A05
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### Interaction equations for short and long dispersive waves. (English)Zbl 0909.35123

Reviewer: T.Aktosun (Fargo)
MSC:  35Q55 76B15
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### A note on Lax-Mizohata theorem for quasilinear equations. (English)Zbl 0921.35042

MSC:  35G25 35L75 58J70
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MSC:  35L65
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### The radius of convergence and the well-posedness of the Painlevé expansions of the Korteweg-de Vries equation. (English)Zbl 0906.35092

MSC:  35Q53 35A20 35B30
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MSC:  35L40

### Weak solvability and well-posedness of a coupled Schrödinger-Korteweg de Vries equation for capillary-gravity wave interactions. (English)Zbl 0884.35138

MSC:  35Q53 35Q55 76B15
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### Geometric transition for a class of hyperbolic operators with double characteristics. (English)Zbl 0885.35065

MSC:  35L30 35A05

### Well-posedness for a Cauchy problem associated to time-dependent free boundaries with nonlocal leading terms. (English)Zbl 0857.35139

MSC:  35R35 35J65 80A22
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### On a singular Cauchy problem for systems of linear ordinary differential equations. (English. Russian original)Zbl 0880.34009

Differ. Equations 32, No. 2, 173-180 (1996); translation from Differ. Uravn. 32, No. 2, 171-179 (1996).
MSC:  34A30 34A12

MSC:  35A10
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### Systems of partial differential equations and classes of Gevrey. (Systèmes d’équations aux dérivées partielles et classes de Gevrey.) (French. Abridged English version)Zbl 0836.35033

MSC:  35F10 35B30

### Geometric transition for a class of hyperbolic operators with double characteristics. (English)Zbl 0838.35068

Demuth, M. (ed.) et al., Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 78, 21-29 (1995).
MSC:  35L25

### Entire vectors and entire existence families. (English)Zbl 0828.34052

McBride, A. C. (ed.) et al., Recent developments in evolution equations. Proceedings of a meeting held at the University of Strathclyde, UK, 25-29 July, 1994. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 324, 100-108 (1995).
MSC:  34G20

### The Cauchy problem for hyperbolic operators of strong type. (English)Zbl 0826.35066

Reviewer: A.Bove (Bologna)
MSC:  35L30 35L80
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### On the Cauchy problem for Schrödinger type equations and the regularity of solutions. (English)Zbl 0807.35026

MSC:  35J10 35Q40 35B65
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### A class of hyperbolic operators with double characteristics. (English)Zbl 0815.35135

MSC:  35S05 58J45 47F05
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### Normal form of systems of partial differential and pseudo-differential operators in formal symbol classes. (English)Zbl 0844.35147

MSC:  35S10 47G30
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### Bicharacteristic curves and wellposedness for hyperbolic equations with non-involutive multiple characteristics. (English)Zbl 0829.35071

MSC:  35L25 35S10
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### Difference methods for time-dependent partial differential equations. (English)Zbl 0807.65094

Sirovich, Lawrence (ed.), Trends and perspectives in applied mathematics. New York: Springer-Verlag. Appl. Math. Sci. 100, 209-238 (1994).

### Necessary conditions for the correctness of the Cauchy problem for operators with multiple characteristics. (English)Zbl 0799.35162

MSC:  35L80 35L70 35L15
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### A generalization of an example by V. Ya. Ivrii. (English)Zbl 0841.35136

Reviewer: L.Rodino (Torino)
MSC:  35S05

### Hyperbolicity of localizations. (English)Zbl 0802.35022

Reviewer: A.Bove (Bologna)
MSC:  35G10 35A05
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### Necessary and sufficient conditions for the well posedness of the Cauchy problem for a class of hyperbolic operators with high variable multiplicity. (English)Zbl 0815.35064

MSC:  35L30 35G10
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### The essential self-adjointness of pseudodifferential operators associated with non-elliptic Weyl symbols with large potentials. (English)Zbl 0770.35081

MSC:  35S10 47G30

### Uniqueness of solution of the Cauchy weight problem and a new energy formula. (English. Russian original)Zbl 0823.35032

J. Contemp. Math. Anal., Armen. Acad. Sci. 26, No. 5, 15-25 (1991); translation from Izv. Akad. Nauk Armen., Mat. 26, No. 5, 376-386 (1991).
MSC:  35G10 35A07

### On the general formal solution of a singularly perturbed system. (Russian)Zbl 0803.34052

Shkil’, N. I. (ed.), Functional-differential equations. Collection of scientific works. Kiev: Kievskij Gosudarstvennyj Pedagogicheskij Institut Im. A. M. Gor’kogo. 88-92 (1991).
MSC:  34E15 34A30

MSC:  35R50

### The closed graph theorem and generalized well-posedness of the abstract Cauchy problem. (English. Russian original)Zbl 0833.46002

Sib. Math. J. 32, No. 2, 333-336 (1991); translation from Sib. Mat. Zh. 32, No. 2(186), 180-183 (1991).
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### Propagation of Gevrey singularities for a class of hyperbolic operators with triple characteristics. (Propagation des singularités Gevrey pour des opérateurs hyperboliques à caractéristiques triples.) (French)Zbl 0736.58038

MSC:  58J47 35L67 47F05

### Integrated semigroups and their application to complete second order Cauchy problems. (English)Zbl 0686.47038

Reviewer: J.de Graaf
MSC:  47D03 47E05 34G10
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### The connection between well-posedness of the Cauchy problem for an equation and for a system in a Banach space. (English. Russian original)Zbl 0669.34061

Sov. Math., Dokl. 37, 647-651 (1988); translation from Dokl. Akad. Nauk SSSR 300, No. 2, 280-284 (1988).
Reviewer: N.L.Maria

### On solvability of the Cauchy problem for an operator equation for the S. L. Sobolev type. (Russian)Zbl 0694.47034

Approximation of functions by special classes of operators, Interuniv. Collect. Sci. Works, 162-170 (1987).
Reviewer: V.Ivrii
MSC:  47E05 46E35 47F05

### Conditions for the uniform well-posedness of the Cauchy problem for an equation with variable operator in a Hilbert space. (English. Russian original)Zbl 0639.47036

Sib. Math. J. 28, No. 1-2, 216-220 (1987); translation from Sib. Mat. Zh. 28, No. 2(162), 50-54 (1987).
Reviewer: O.John
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### Differential equations in locally convex spaces and evolution pseudodifferential equations. (English. Russian original)Zbl 0658.47045

Differ. Equations 22, 1116-1122 (1986); translation from Differ. Uravn. 22, No. 9, 1596-1603 (1986).

### Differential equations in locally convex spaces and evolution pseudo- differential equations. (Russian)Zbl 0632.47037

Reviewer: J.de Graaf

### Mathematical model of wrinkling phenomenon in structures. (English)Zbl 0551.73050

Mathematical modelling in science and technology, 4th int. Conf., Zürich/Switz. 1983, 573-578 (1984).

### The Cauchy problem for effectively hyperbolic operators. (English)Zbl 0544.35094

Reviewer: G.Gussi
MSC:  35S10 35L99 35B45
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### Sur l’espace de données admissibles dans le problème de Cauchy. (French)Zbl 0476.35052

MSC:  35L45 35B30 35A30

### On the conditions for the hyperbolicity of systems with double characteristic roots. I. (English)Zbl 0471.35052

MSC:  35L45 35B30 35A30
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### Cauchy problems for the operator of Tricomi’s type. (English)Zbl 0415.35058

MSC:  35M99 35L10
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### On the Cauchy problem for weakly hyperbolic equations. (English)Zbl 0405.35050

MSC:  35L30 35A05 35B45 35D05
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