## Found 261 Documents (Results 1–100)

100
MathJax

### Space and time analyticity for inviscid equations of fluid dynamics. (English)Zbl 1483.35159

MSC:  35Q35 35Q30 76D09
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### On the representation and the uniform polynomial approximation of polyanalytic functions of Gevrey type on the unit disk. (English)Zbl 07489032

MSC:  30E10 30D60 41A10
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### Approximate solutions of one abstract Cauchy problem. (English. Russian original)Zbl 1458.35278

J. Math. Sci., New York 253, No. 2, 230-241 (2021); translation from Neliniĭni Kolyvannya 22, No. 3, 341-349 (2019).
MSC:  35L90 35L15
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### Expansions of the real field by canonical products. (English)Zbl 1481.03024

MSC:  03C64 28A05 26E05
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### On the Cauchy problem for $$D_t^2- D_x(b(t)a(x)) D_x$$. (English)Zbl 1446.35067

MSC:  35L15 35S05
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### Extended Gevrey regularity via the short-time Fourier transform. (English)Zbl 1452.46028

Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 455-474 (2020).
MSC:  46F05 35A18
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### Gevrey properties and summability of formal power series solutions of some inhomogeneous linear Cauchy-Goursat problems. (English)Zbl 1437.35150

MSC:  35C10 35C20
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### On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis. (English)Zbl 1430.34071

MSC:  34G10 47B40 47D06
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### Global regularity and solvability of left-invariant differential systems on compact Lie groups. (English)Zbl 1437.35685

MSC:  35R03 35S05 35A01
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MSC:  30E15
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### Beyond Gevrey regularity: superposition and propagation of singularities. (English)Zbl 07466932

MSC:  46F05 46E10 35A18
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### On approximate solutions of the Cauchy problem for the differential-operator equation of a hyperbolic type. (Ukrainian. English summary)Zbl 1424.47165

MSC:  47J35 35L76
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### Comment on “On the Carleman classes of vectors of a scalar type spectral operator”. (English)Zbl 1482.47071

MSC:  47B40 47B15
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### Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II: Tensor representations. (English)Zbl 1398.46030

MSC:  46F05 58J40 22E30
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### On the Gevrey strong hyperbolicity. (English)Zbl 1383.35118

MSC:  35L30 35G10
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MSC:  46F05 22E30
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### On a class of ultradifferentiable functions. (English)Zbl 1460.46028

MSC:  46F05 46E10 35A18
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MSC:  30D60
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### Solvability in Gevrey classes of some nonlinear functional differential. (English)Zbl 1316.30032

MSC:  30D20 34M99

MSC:  30F15
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### Ultra-differentiable classes and intersection theorems. (English)Zbl 1302.46016

MSC:  46E10 46F05
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### Cauchy problem for noneffectively hyperbolic operators. (English)Zbl 1282.35006

MSJ Memoirs 30. Tokyo: Mathematical Society of Japan (ISBN 978-4-86497-018-1/pbk). xi, 170 p. (2013).
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### Smooth Gevrey normal forms of vector fields near a fixed point. (English. French summary)Zbl 1273.37033

Reviewer: Hao Wu (Nanjing)
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### Strongly Gevrey wellposedness for systems with time-dependent coefficients. (English)Zbl 1254.35140

MSC:  35L45 35A01 35A02
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### Analytic vectors in locally integrable structures. (English)Zbl 1236.35016

Barkatou, Y. (ed.) et al., Geometric analysis of several complex variables and related topics. Proceedings of the workshop, Marrakesh, Morocco, May 10–14, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5257-6/pbk). Contemporary Mathematics 550, 1-14 (2011).
MSC:  35B65 35F50

### Gevrey regularity of subelliptic Monge-Ampère equations in the plane. (English)Zbl 1242.35104

MSC:  35H20 35B65
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MSC:  46F05
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MSC:  35L30
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### A result on analytical solutions of systems of grade-2 fluids in dimension 3. (Un résultat sur les solutions analytiques des systèmes de fluides de grade deux en dimension 3.) (French)Zbl 1311.35229

Dogbe, Christian (ed.) et al., Actes des colloques “EDP-Normandie”, Caen 2010 – Rouen 2011. [s.l.]: Fédération Normandie-Mathématiques (ISBN 978-2-9541221-0-6/pbk). Normandie-Mathématiques, 291-297 (2010).

### Gevrey normal form and effective stability of Lagrangian tori. (English)Zbl 1282.37034

MSC:  37J40 70H08
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### Extension operators in Carleman ultraholomorphic classes. (English)Zbl 1210.47025

MSC:  47A20 46E15 46E40
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### Affine ultraregular generalized functions. (English)Zbl 1201.46039

Kamiński, Andrzej (ed.) et al., Linear and non-linear theory of generalized functions and its applications. Proceedings of the Banach Center conference, Bȩdlewo, Poland, September 2–8, 2007. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-07-2/pbk). Banach Center Publications 88, 39-53 (2010).
MSC:  46F30 35A18 46F10
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### Small divisors problem in dynamical systems and analytic solutions of the Shabat equation. (English)Zbl 1191.37029

MSC:  37F50 34K99 39B32
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### On relationship between classes of $$(\psi,\overline{\beta})$$-differentiable functions and Gevrey classes. (Russian, English)Zbl 1224.42008

Ukr. Mat. Zh. 61, No. 1, 140-144 (2009); translation in Ukr. Math. J. 61, No. 1, 171-177 (2009).
MSC:  42A10 42A16 26E10
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### Gevrey solvability near the characteristic set for a class of planar complex vector fields of infinite type. (English)Zbl 1173.35300

MSC:  35A05 58J05
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### On the 2 by 2 weakly hyperbolic systems. (English)Zbl 1177.35132

MSC:  35L45 35A02
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### Estimates of the Gevrey classes of scattering data for polynomial potentials. (English. Russian original)Zbl 1177.35179

Russ. Math. Surv. 63, No. 4, 788-789 (2008); translation from Usp. Mat. Nauk 63, No. 4, 189-190 (2008).
MSC:  35Q51 37K10 37K30
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### Effective estimates for derivatives of inverse functions. (English. Russian original)Zbl 1168.46025

Izv. Math. 72, No. 4, 761-791 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 4, 141-172 (2008).
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MSC:  35L45
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### Global $$s$$-solvability and global $$s$$-hypoellipticity for certain perturbations of zero order of systems of constant real vector fields. (English)Zbl 1155.35010

MSC:  35H10 35S05
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### Description of kernels and symbols of pseudo-differential operators of negative orders, associated to Gevrey classes. (English)Zbl 1264.47054

MSC:  47G30 35S05

### Global Fuchsian Goursat problem in the class of holomorphic-Gevrey functions. (English)Zbl 1138.35004

MSC:  35D05 35A07 35A20

### Global solutions of some nonlinear Fuchs equations in Gevrey spaces. (Solutions globales de certaines équations de Fuchs non linéaires dans les espaces de Gevrey.) (French)Zbl 1108.35002

MSC:  35A05 35G20 35A20
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### Inhomogeneous Gevrey ultradistributions and Cauchy problem. (English)Zbl 1274.46075

MSC:  46F05 35E15
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### The generalized pseudo-differential operators on some Gevrey spaces. (English)Zbl 1158.47034

MSC:  47G30 35S05

### On the Cauchy problem for $$D_t^{2}-D_xa(t, x)^n D_x$$. (English)Zbl 1138.35049

MSC:  35L15 35L10
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### Gevrey hypoellipticity and solvability on the multidimensional torus of some classes of linear partial differential operators. (English)Zbl 1112.35046

MSC:  35H10 35G05
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### Well-posedness of the Cauchy problem for some degenerate hyperbolic operators. (English)Zbl 1101.35058

Boggiatto, Paolo (ed.) et al., Pseudo-differential operators and related topics. Papers based on lectures given at the international conference, Växjö University, Sweden, June 22 to June 25, 2005. Basel: Birkhäuser (ISBN 3-7643-7513-2/hbk). Operator Theory: Advances and Applications 164, 23-41 (2006).
MSC:  35L80 35L15 35S05 35A05

### On the influence of the lower order terms on the Gevrey local solvability of a class of equations with multiple characteristics. (English)Zbl 1096.35129

MSC:  35S05 35A07
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### $$\mathcal G^L$$-microlocal analysis of generalized functions. (English)Zbl 1105.46028

MSC:  46F30 46F05 46F10
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### Strong uniqueness for second order elliptic operators with Gevrey coefficients. (English)Zbl 1174.35335

MSC:  35J15 35A20 35B60
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### Lower bounds of the splitting of the invariant manifolds. (Sur les bornes inférieures de l’écart des variétés invariantes.) (French)Zbl 1069.37019

MSC:  37D10 34C37
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### Gevrey regularity for some P.D.E. governing the motion of a micropolar fluid in the three dimensional case. (English)Zbl 1073.35050

MSC:  35B65 35Q30 35B45

### About Gevrey-$$L^2$$-estimates of pseudo-differential operators associated to the Gevrey symbols. (English)Zbl 1095.35084

MSC:  35S05 47B35 47G10

### Fourier integral operators of infinite order and applications to SG-hyperbolic equations. (English)Zbl 1079.35108

MSC:  35S30 35L30 35A17
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### Gevrey regularity of global attractor for generalized Benjamin-Bona-Mahony equation. (English)Zbl 1082.35042

MSC:  35B65 35B41 35K30

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### Analytic and Gevrey solutions of nonlinear partial differential equations. (English)Zbl 1075.35129

MSC:  35S05 35B65

### Local solvability for partial differential equations with multiple characteristics. (English)Zbl 1069.35004

Chuong, N. M. (ed.) et al., Abstract and applied analysis. Proceedings of the international conference, Hanoi, Vietnam, August 13–17, 2002. River Edge, NJ: World Scientific (ISBN 981-238-944-X/hbk). 257-270 (2004).
MSC:  35A07

### The Cauchy problem for evolution equations with non-regular coefficients. (English)Zbl 1064.35038

MSC:  35G10 35B30 35A07

### Solvability in Gevrey classes for second powers of Mizohata operator. (English)Zbl 1083.35027

MSC:  35B65 35A07 35C20

### Optimal Gevrey classes for the existence of solution operators for linear partial differential operators in three variables. (English)Zbl 1065.47042

MSC:  47F05 46F20
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### 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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MSC:  35A10
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### Local solvability and hypoellipticity for semilinear anisotropic partial differential equations. (English)Zbl 1039.35151

MSC:  35S05 35H10
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### On the Gevrey well posedness of the Cauchy problem for weakly hyperbolic equations of higher order. (English)Zbl 1026.35065

MSC:  35L30 35A05
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### Smoothness of solutions of a nonlinear ODE. (English)Zbl 1029.34004

MSC:  34A25 46E10 47E05
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### Propagation of analyticity of solutions to the Cauchy problem for weakly hyperbolic semi-linear equations. (English)Zbl 1018.35003

MSC:  35A21 35L30 35L75
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