Rouveyrol, Marc Stabilization of the wave equation on larger-dimension tori with rough dampings. (English) Zbl 1540.35065 Pure Appl. Anal. 6, No. 2, 487-520 (2024). MSC: 35B40 35A27 35L05 35L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Burq, Nicolas; Gérard, Patrick Stabilization of wave equations on the torus with rough dampings. (English. French summary) Zbl 1462.35070 Pure Appl. Anal. 2, No. 3, 627-658 (2020). MSC: 35B40 35L20 35Q93 35S05 58J40 93D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Léautaud, Matthieu; Lerner, Nicolas Energy decay for a locally undamped wave equation. (English. French summary) Zbl 1391.35056 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 1, 157-205 (2017). MSC: 35B40 35L15 35A27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anantharaman, Nalini; Léautaud, Matthieu Sharp polynomial decay rates for the damped wave equation on the torus. (English) Zbl 1295.35075 Anal. PDE 7, No. 1, 159-214 (2014). MSC: 35B40 35A21 35B35 35L05 35P20 35S05 93C20 58J45 93B07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Liess, Otto; Okada, Yasunori; Tose, Nobuyuki Second hyperfunctions, regular sequences, and Fourier inverse transforms. (English) Zbl 1013.58011 Bull. Soc. R. Sci. Liège 70, No. 4-6, 307-343 (2001). Reviewer: Masakazu Muro (Yanagido) MSC: 58J15 × Cite Format Result Cite Review PDF
Kołakowski, Henryk Mellin analysis of partial differential equations in papers of B. Ziemian. (English) Zbl 0962.35007 Ann. Pol. Math. 74, 27-33 (2000). Reviewer: Valentina Golubeva (Moskva) MSC: 35A27 35A07 35A20 35A21 35A18 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Laubin, Pascal On the Lagrangian regularity near non-transversal crossing of Lagrangian manifolds. (English) Zbl 0998.58019 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 45, Suppl., 197-211 (1999). MSC: 58J47 53D12 58J32 × Cite Format Result Cite Review PDF
Pilipović, Stevan Local and microlocal analysis in the space of Colombeau generalized functions. (English) Zbl 0933.35009 Grosser, Michael (ed.) et al., Nonlinear theory of generalized functions. Proceedings of the workshop on nonlinear theory of nonlinear functions, Erwin-Schrödinger-Institute, Vienna, Austria, October–December 1997. Boca Raton, FL: Chapman & Hall. Chapman Hall/CRC Res. Notes Math. 401, 187-200 (1999). Reviewer: P.Craciunas (Iaşi) MSC: 35A27 46F30 × Cite Format Result Cite Review PDF
Takeuchi, Kiyoshi Microlocal inverse image and bimicrolocalization. (English) Zbl 0972.32007 Publ. Res. Inst. Math. Sci. 34, No. 2, 135-153 (1998). MSC: 32C38 58J15 35A27 35B60 35G15 × Cite Format Result Cite Review PDF Full Text: DOI
Lerner, N.; Saint Raymond, X. An inequality of Gårding on a manifold with boundary. (Une inégalité de Gårding sur une variété à bord.) (French) Zbl 0923.35215 J. Math. Pures Appl., IX. Sér. 77, No. 9, 949-963 (1998). Reviewer: R.Vaillancourt (Ottawa) MSC: 35S15 35A27 × Cite Format Result Cite Review PDF Full Text: DOI
Funakoshi, Shota Elementary construction of the sheaf of small 2-microfunctions and an estimate of supports. (English) Zbl 0912.35010 J. Math. Sci., Tokyo 5, No. 1, 221-240 (1998). Reviewer: S.Dimiev (Sofia) MSC: 35A27 32C38 × Cite Format Result Cite Review PDF
Chen, Shuxing Cauchy problem for a class of semilinear hyperbolic equations with \(Y\)-shape discontinuous data. (English) Zbl 0843.35061 Acta Math. Sin., New Ser. 11, Spec. Iss., 171-185 (1995). MSC: 35L75 35R05 35A20 35A27 × Cite Format Result Cite Review PDF
Wang, Weike Interaction of three conormal waves for semilinear wave equations. (English) Zbl 0832.35098 J. Partial Differ. Equations 8, No. 3, 281-288 (1995). MSC: 35L70 35A20 × Cite Format Result Cite Review PDF
Ziemian, Bogdan Mellin analysis of singular and nonlinear PDEs. (English) Zbl 0811.35007 Tatra Mt. Math. Publ. 4, 243-248 (1994). MSC: 35A27 35A20 × Cite Format Result Cite Review PDF Full Text: EuDML
Okada, Yasunori Second microlocal singularities of tempered and Gevrey classes. (English) Zbl 0791.35004 J. Fac. Sci., Univ. Tokyo, Sect. I A 39, No. 3, 475-505 (1992). Reviewer: A.Kaneko (Komaba) MSC: 35A27 46F20 32A45 × Cite Format Result Cite Review PDF
Chen, Shuxing Essentially multidimensional Cauchy problems for semilinear hyperbolic equations with discontinuous data. (English) Zbl 0928.35103 Chang, Kung-Ching (ed.) et al., Nonlinear analysis and microlocal analysis. Proceedings of the international conference at Nankai Institute of Mathematics, Tianjin, China, August 18–23, 1991. Singapore: World Scientific. Nankai Ser. Pure Appl. Math. Theor. Phys. 2, 34-43 (1992). MSC: 35L70 35L15 35R05 × Cite Format Result Cite Review PDF
Williams, Mark Transmission across a moving interface: Necessary and sufficient conditions for \((L^ 2)\) well-posedness. (English) Zbl 0799.35139 Indiana Univ. Math. J. 41, No. 2, 303-338 (1992). MSC: 35L10 35A27 35L67 × Cite Format Result Cite Review PDF Full Text: DOI
Melrose, Richard B. Conormality, cusps and nonlinear interaction. (English) Zbl 0794.35005 Microlocal analysis and nonlinear waves, Proc. Workshop, IMA Program Nonlinear Waves, Minneapolis/MN (USA) 1988-89, IMA Vol. Math. Appl. 30, 155-166 (1991). MSC: 35A27 58C25 58K99 35L70 35A20 × Cite Format Result Cite Review PDF
Delort, Jean-Marc Conormality of semilinear waves along caustics. (Conormalité des ondes semi-linéaires le long des caustiques.) (French) Zbl 0758.35005 Am. J. Math. 113, No. 4, 593-651 (1991). Reviewer: P.Godin (Bruxelles) MSC: 35A27 35L67 35L70 35S05 × Cite Format Result Cite Review PDF Full Text: DOI
Delort, J. M. Deuxième microlocalisation simultanée et front d’onde de produits. (The second simultaneous microlocalization and the wave front of products). (French) Zbl 0715.35049 Ann. Sci. Éc. Norm. Supér. (4) 23, No. 2, 257-310 (1990). Reviewer: N.Jacob MSC: 35L70 35S05 46F10 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
[Braun, Rüdiger W.; Meise, Reinhold; Vogt, Dietmar; Majima, Hideyuki; Itô, Yoshifumi; Zampieri, Giuseppe; Kataoka, Kiyômi; Uchida, Motoo; Hasegawa, Kenji; Tose, Nobuyuki; Kitagawa, Keiichiro; Miyake, Masatake; Takei, Yoshitsugu; Nishihara, Masaru] Functional-analytic study of generalized functions. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto (Japan), July 6-8, 1987. (English, French) Zbl 0718.46014 RIMS Kokyuroku, 704. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. ii, 139 p. (1989). MSC: 46Fxx 46-06 58-06 00B25 × Cite Format Result Cite Review PDF
Esser, P.; Laubin, P. Second microlocalization on involutive manifolds with regular projection property. (English) Zbl 0701.35006 Result. Math. 14, No. 3-4, 288-308 (1988). Reviewer: C.Popa MSC: 35A27 58J47 35S99 × Cite Format Result Cite Review PDF Full Text: DOI
Bony, J.-M. Seconde microlocalisation et équations non-lineaires. (Second microlocalization and nonlinear equations). (French) Zbl 0728.35002 Hyperbolic equations, Proc. Conf., Padova/Italy 1985, Pitman Res. Notes Math. Ser. 158, 11-32 (1987). MSC: 35A27 35S05 35G20 46E35 × Cite Format Result Cite Review PDF
Tose, Nobuyuki Propagation of singularities for microdifferential equations with multiple selftangential involutory characteristics. (English) Zbl 0665.35005 Proc. Japan Acad., Ser. A 63, 339-341 (1987). Reviewer: N.Tose MSC: 35A27 35A30 35A20 × Cite Format Result Cite Review PDF Full Text: DOI
Tose, Nobuyuki Systems of microdifferential equations with involutory double characteristics. Propagation theorem for sheaves in the framework of microlocal study of sheaves. (English) Zbl 0665.35004 Proc. Japan Acad., Ser. A 63, 262-265 (1987). Reviewer: N.Tose MSC: 35A27 35A30 35A20 × Cite Format Result Cite Review PDF Full Text: DOI
Esser, P.; Laubin, P. Second analytic wave front set and boundary values of holomorphic functions. (English) Zbl 0618.32005 Appl. Anal. 25, 1-27 (1987). MSC: 32A40 32A45 46F20 32A07 × Cite Format Result Cite Review PDF Full Text: DOI
Recent developments in algebraic analysis. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto (Japan), July 10-13, 1985. (Japanese) Zbl 0682.58004 RIMS Kokyuroku, 594. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. I, 96 p. (1986). MSC: 58-06 00B25 14-06 32-06 58J15 58J40 × Cite Format Result Cite Review PDF
Tose, Nobuyuki On a class of microdifferential equations with involutory double characteristics - as an application of second microlocalization. (English) Zbl 0637.35089 J. Fac. Sci., Univ. Tokyo, Sect. I A 33, 619-634 (1986). Reviewer: O.Liess MSC: 35S05 35A27 35A30 × Cite Format Result Cite Review PDF
Bony, J.-M. Singularités des solutions de problèmes de Cauchy hyperboliques non linéaires. (Singularities of solutions of nonlinear hyperbolic Cauchy problems). (French) Zbl 0627.35065 Advances in microlocal analysis, Proc. NATO Adv. Study Inst., Castelvecchio-Pascoli (Lucca)/Italy 1985, NATO ASI Ser., Ser. C 168, 15-39 (1986). Reviewer: C.Cinquini MSC: 35L75 35L30 35A20 35L67 × Cite Format Result Cite Review PDF
Delort, Jean-Marc; Lebeau, Gilles Majorations de deuxièmes micro-supports. (Upper bounds for second micro-supports). (French) Zbl 0604.58047 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1986, Conf. No. 14, 15 p, (1986). MSC: 58J47 35A20 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Laubin, P.; Esser, P. Second analytic wave front set of the fundamental solutions of hyperbolic operators. (English) Zbl 0603.35003 Commun. Partial Differ. Equations 11, 459-482 (1986). Reviewer: E.Infeld MSC: 35A27 35A08 35L55 × Cite Format Result Cite Review PDF Full Text: DOI
Lebeau, G. Regularité Gevrey 3 pour la diffraction. (French) Zbl 0559.35019 Commun. Partial Differ. Equations 9, 1437-1494 (1984). Reviewer: M.Derridj MSC: 35H10 35B65 × Cite Format Result Cite Review PDF Full Text: DOI
Lebeau, G. Deuxième microlocalisation sur les sous-variétés isotropes. (French) Zbl 0569.35007 Journ. Équ. Dériv. Partielles, Saint-Jean-De-Monts 1982, Exp. No. 10, 7 p. (1982). Reviewer: B.Helffer MSC: 35D10 47F05 35A30 × Cite Format Result Cite Review PDF Full Text: Numdam EuDML
Kashiwara, Masaki; Kawai, Takahiro Second-microlocalization and asymptotic expansions. (English) Zbl 0458.46027 Complex analysis, microlocal calculus and relativistic quantum theory, Proc. Colloq., Les Houches 1979, Lect. Notes Phys. 126, 21-76 (1980). MSC: 46F99 41A60 81Q99 58J99 30E15 46F15 × Cite Format Result Cite Review PDF
Iagolnitzer, D. Essential support theory and \(u=0\) theorems. (English) Zbl 0446.46030 Complex analysis, microlocal calculus and relativistic quantum theory, Proc. Colloq., Les Houches 1979, Lect. Notes Phys. 126, 1-4 (1980). MSC: 46F10 46F12 46F15 × Cite Format Result Cite Review PDF