## Found 58 Documents (Results 1–58)

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### On backward uniqueness for parabolic equations when Osgood continuity of the coefficients fails at one point.(English)Zbl 1485.35257

MSC:  35K10 35A02 35S50
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### Well-posedness for hyperbolic equations whose coefficients lose regularity at one point.(English)Zbl 1489.35164

MSC:  35L15 35B65
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### No loss of derivatives for hyperbolic operators with Zygmund-continuous coefficients in time.(English)Zbl 1461.35145

Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 127-148 (2021).
MSC:  35L15 35B45 35B65
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### On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients.(English)Zbl 1439.35317

MSC:  35L45 35B45 35B65
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### Conditional stability for backward parabolic equations with Osgood coefficients.(English)Zbl 1427.35093

Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 285-295 (2019).
MSC:  35K10 35K15 35B30
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### Backward uniqueness for parabolic operators with non-Lipschitz coefficients.(English)Zbl 1334.35074

MSC:  35K15 35R25 35A02
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### Conditional stability for backward parabolic equations with $$\mathrm{Log}\, \mathrm{Lip}_t \times \mathrm{Lip}_x$$-coefficients.(English)Zbl 1320.35055

MSC:  35B30 34A12 35A02
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### A note on complete hyperbolic operators with log-Zygmund coefficients.(English)Zbl 1320.35179

Ruzhansky, Michael (ed.) et al., Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25–29, 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-02549-0/hbk; 978-3-319-02550-6/ebook). Trends in Mathematics, 47-72 (2014).
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### Non-uniqueness and uniqueness in the Cauchy problem of elliptic and backward-parabolic equations.(English)Zbl 1273.35013

Reissig, Michael (ed.) et al., Progress in partial differential equations. Asymptotic profiles, regularity and well-posedness. Based on the presentations given at a session at the 8th ISAAC congress, Moscow, Russia, August 22–27, 2011. Cham: Springer (ISBN 978-3-319-00124-1/hbk; 978-3-319-00125-8/ebook). Springer Proceedings in Mathematics & Statistics 44, 27-52 (2013).
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### A remark on the uniqueness for backward parabolic operators with non-Lipschitz-continuous coefficients.(English)Zbl 1258.35004

Ruzhansky, Michael (ed.) et al., Evolution equations of hyperbolic and Schrödinger type. Asymptotics, estimates and nonlinearities. Based on a workshop on asymptotic properties of solutions to hyperbolic equations, London, UK, March 2011. Basel: Springer (ISBN 978-3-0348-0453-0/hbk; 978-3-0348-0454-7/ebook). Progress in Mathematics 301, 103-114 (2012).
MSC:  35A02 35K15
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### A note on hyperbolic operators with log-Zygmund coefficients.(English)Zbl 1213.35286

MSC:  35L15 35B45
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### The Cauchy problem for a hyperbolic operator with log-Zygmund coefficients.(English)Zbl 1184.35189

Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13–18, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-732-5/hbk). 425-433 (2009).
MSC:  35L15

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MSC:  35L10

### Klein-Gordon type equations with a singular time-dependent potential.(English)Zbl 1159.35387

MSC:  35L15 35B65 81Q05

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### A dyadic decomposition approach to a finitely degenerate hyperbolic problem.(English)Zbl 1134.35080

MSC:  35L80 35L15
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### A note on Gevrey well-posedness for the operator $$\partial^2_t-a(t)\partial_x(b(t,x)\partial_x)$$.(English)Zbl 1128.35364

MSC:  35L15 35A05

### On the backward uniqueness property for a class of parabolic operators.(English)Zbl 1166.35025

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, 95-105 (2006).
MSC:  35K25 35K35 35A05
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MSC:  35K15
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### Gevrey-well-posedness for weakly hyperbolic operators with Hölder-continuous coefficients.(English)Zbl 1061.35044

MSC:  35L15 35B65
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### A remark on nonuniqueness in the Cauchy problem for elliptic operator having non-Lipschitz coefficients.(English)Zbl 1205.35059

Ancona, Vincenzo (ed.) et al., Hyperbolic differential operators and related problems. New York, NY: Marcel Dekker (ISBN 0-8247-0963-2/pbk). Lect. Notes Pure Appl. Math. 233, 317-320 (2003).
MSC:  35J15

### Some results on the Cauchy problem for hyperbolic operators with non-regular coefficients.(English)Zbl 1052.35109

Colombini, Ferruccio (ed.) et al., Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10–14, 2002. Somerville, MA: International Press (ISBN 1-57146-150-7/pbk). Grad. Ser. Anal., 147-157 (2003).
MSC:  35L15 35L80

### Strictly hyperbolic operators and approximate energies.(English)Zbl 1050.35044

Begehr, Heinrich G. W. (ed.) et al., Analysis and applications–ISAAC 2001.
Proceedings of the 3rd international congress, Berlin, Germany, August 20–25, 2001. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1384-1/hbk). Int. Soc. Anal. Appl. Comput. 10, 253-277 (2003).
MSC:  35L15 35A05

### A remark on well-posedness for hyperbolic equations with singular coefficients.(English)Zbl 1041.35050

MSC:  35L80 35L15 35A05
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### On the Cauchy problem for hyperbolic operators with non-regular coefficients.(English)Zbl 1036.35122

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, 37-52 (2003).
MSC:  35L45

### On the optimal regularity of coefficients in hyperbolic Cauchy problems.(English)Zbl 1037.35038

MSC:  35L15 35B65 35A05
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### On weakly hyperbolic operators with non-regular coefficients and finite order degeneration.(English)Zbl 1036.35117

MSC:  35L15 35L80
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### Well-posedness of the Cauchy problem for a hyperbolic equation with non-Lipschitz coefficients.(English)Zbl 1098.35094

MSC:  35L15 35A05
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MSC:  35L15
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### Gevrey-well-posedness for weakly hyperbolic operators with non-regular coefficients.(English)Zbl 1037.35037

MSC:  35L15 35B65 35A05
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### Blow-up for hyperbolic systems in diagonal form.(English)Zbl 0994.35090

MSC:  35L65 35L67 35B40
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### Uniqueness and non-uniqueness results for operators with simple characteristics.(English)Zbl 1115.35159

Vaillant, J. (ed.) et al., Differential operators and mathematical physics. Papers of the colloquium, Coimbra, Portugal, June 19–22. Coimbra: Universidade de Coimbra, Departamento de Matemática (ISBN 972-8564-25-2/pbk). Textos de Matemática. Série B 24, 95-118 (2000).
MSC:  35S05 35A07

### Blow-up of solutions of a hyperbolic system: The critical case.(English. Russian original)Zbl 1032.35126

Differ. Equations 34, No. 9, 1157-1163 (1998); translation from Differ. Uravn. 34, No. 9, 1155-1161 (1998).

### Formation of singularities for nonlinear hyperbolic $$2\times 2$$ systems with periodic data.(English)Zbl 0892.35094

Reviewer: S.Benzoni (Lyon)
MSC:  35L45 35L67

### Global existence of the solutions and formation of singularities for a class of hyperbolic systems.(English)Zbl 0893.35066

Colombini, Ferruccio (ed.) et al., Geometrical optics and related topics. Selected papers of the meeting, Cortona, Italy, September 1996. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 32, 117-140 (1997).
Reviewer: H.Lange (Köln)

### A Carleman estimate for degenerate elliptic operators with an application to an ill-posed problem.(English)Zbl 0877.35051

MSC:  35J70 35R25

### Singular principal normality in the Cauchy problem.(English)Zbl 0878.35002

MSC:  35A07 35B60 78A05
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### Development of singularities for nonlinear hyperbolic systems with periodic data.(English)Zbl 0881.35067

MSC:  35L60 35B40 35L45

### The Fefferman-Phong inequality in the locally temperate Weyl calculus.(English)Zbl 0884.35182

Reviewer: M.Derridj (Rouen)
MSC:  35S05 47G30

### Condition $$({\mathcal P})$$ is not sufficient for uniqueness in the Cauchy problem.(English)Zbl 0846.35002

MSC:  35A07 35B30
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MSC:  35J70
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### Nonresonance conditions on the potential for a semilinear elliptic problem.(English)Zbl 0798.35051

MSC:  35J65 35J20
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MSC:  35J70
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### A remark on Hörmander’s uniqueness theorem.(English)Zbl 0807.35003

MSC:  35A07 35B45 35S50
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### On the uniqueness theorem of Lerner and Robbiano.(English)Zbl 0804.35160

Reviewer: L.Rodino (Torino)
MSC:  35S05 35S10 35A07 35S50
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### Some remarks on the uniqueness in the Cauchy problem for degenerate elliptic operators.(English)Zbl 0836.35055

Ambrosetti, A. (ed.) et al., Nonlinear analysis. A tribute in honour of Giovanni Prodi. Pisa: Scuola Normale Superiore, Quaderni. Universitá di Pisa. 153-159 (1991).
MSC:  35J70

### Some uniqueness results for degenerate elliptic operators in two variables.(English)Zbl 0766.35005

Reviewer: N.Weck (Essen)
MSC:  35B60 35J70
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MSC:  35J70

### Uniqueness of the Cauchy problem for a second order operator.(English)Zbl 0699.35039

Reviewer: G.Jumarie
MSC:  35G10 35A05
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