45
publications with author
Massimo Cicognani
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Total number of authors: 4
Massimo Cicognani; Fumihiko Hirosawa; Michael Reissig. The Log-effect for p-evolution type models. Journal of the Mathematical Society of Japan 2008, 60, 819 -863.
AMA StyleMassimo Cicognani, Fumihiko Hirosawa, Michael Reissig. The Log-effect for p-evolution type models. Journal of the Mathematical Society of Japan. 2008; 60 (3):819-863.
Chicago/Turabian StyleMassimo Cicognani; Fumihiko Hirosawa; Michael Reissig. 2008. "The Log-effect for p-evolution type models." Journal of the Mathematical Society of Japan 60, no. 3: 819-863.
Massimo Cicognani; Torsten Herrmann. $$H^\infty $$ well-posedness for a 2-evolution Cauchy problem with complex coefficients. Journal of Pseudo-Differential Operators and Applications 2013, 4, 63 -90.
AMA StyleMassimo Cicognani, Torsten Herrmann. $$H^\infty $$ well-posedness for a 2-evolution Cauchy problem with complex coefficients. Journal of Pseudo-Differential Operators and Applications. 2013; 4 (1):63-90.
Chicago/Turabian StyleMassimo Cicognani; Torsten Herrmann. 2013. "$$H^\infty $$ well-posedness for a 2-evolution Cauchy problem with complex coefficients." Journal of Pseudo-Differential Operators and Applications 4, no. 1: 63-90.
We consider the loss of regularity of the solution to the backward Cauchy problem for a second order strictly hyperbolic equation on the time interval $[0,T]$ with time depending coefficients which have a singularity only at the end point $t=0$. The main purpose of this paper is to show that the loss of regularity of the solution on the Gevrey scale can be described by the order of differentiability of the coefficients on $(0,T]$, the order of singularities of each derivatives as $t\to0$ and a stabilization condition of the amplitude of oscillations described by an integral on $(0,T)$. Moreover, we prove the optimality of the conditions for $C^\infty$ coefficients on $(0,T]$ by constructing a counterexample.
Massimo Cicognani; Fumihiko Hirosawa. On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients. MATHEMATICA SCANDINAVICA 2008, 102, 283 -304.
AMA StyleMassimo Cicognani, Fumihiko Hirosawa. On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients. MATHEMATICA SCANDINAVICA. 2008; 102 (2):283-304.
Chicago/Turabian StyleMassimo Cicognani; Fumihiko Hirosawa. 2008. "On the Gevrey well-posedness for second order strictly hyperbolic Cauchy problems under the influence of the regularity of the coefficients." MATHEMATICA SCANDINAVICA 102, no. 2: 283-304.
Rossella Agliardi; Massimo Cicognani. Operators of p-evolution with nonregular coefficients in the time variable. Journal of Differential Equations 2004 .
AMA StyleRossella Agliardi, Massimo Cicognani. Operators of p-evolution with nonregular coefficients in the time variable. Journal of Differential Equations. 2004; ():.
Chicago/Turabian StyleRossella Agliardi; Massimo Cicognani. 2004. "Operators of p-evolution with nonregular coefficients in the time variable." Journal of Differential Equations , no. : .
Alessia Ascanelli; Massimo Cicognani; Ferruccio Colombini. The global Cauchy problem for a vibrating beam equation. Journal of Differential Equations 2009, 247, 1440 -1451.
AMA StyleAlessia Ascanelli, Massimo Cicognani, Ferruccio Colombini. The global Cauchy problem for a vibrating beam equation. Journal of Differential Equations. 2009; 247 (5):1440-1451.
Chicago/Turabian StyleAlessia Ascanelli; Massimo Cicognani; Ferruccio Colombini. 2009. "The global Cauchy problem for a vibrating beam equation." Journal of Differential Equations 247, no. 5: 1440-1451.
Massimo Cicognani; Ferruccio Colombini. Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem. Journal of Mathematical Analysis and Applications 2007, 333, 1237 -1253.
AMA StyleMassimo Cicognani, Ferruccio Colombini. Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem. Journal of Mathematical Analysis and Applications. 2007; 333 (2):1237-1253.
Chicago/Turabian StyleMassimo Cicognani; Ferruccio Colombini. 2007. "Modulus of continuity of the coefficients and (non)quasianalytic solutions in the strictly hyperbolic Cauchy problem." Journal of Mathematical Analysis and Applications 333, no. 2: 1237-1253.
Massimo Cicognani; Luisa Zanghirati. Quasi-linear weakly hyperbolic equations with Gevrey-Levi conditions. ANNALI DELL'UNIVERSITA' DI FERRARA 1995, 41, 5 -31.
AMA StyleMassimo Cicognani, Luisa Zanghirati. Quasi-linear weakly hyperbolic equations with Gevrey-Levi conditions. ANNALI DELL'UNIVERSITA' DI FERRARA. 1995; 41 (1):5-31.
Chicago/Turabian StyleMassimo Cicognani; Luisa Zanghirati. 1995. "Quasi-linear weakly hyperbolic equations with Gevrey-Levi conditions." ANNALI DELL'UNIVERSITA' DI FERRARA 41, no. 1: 5-31.
Massimo Cicognani. The propagation of the analytic regularity in nonlinear hyperbolic equations with constant multiplicity. ANNALI DELL'UNIVERSITA' DI FERRARA 1996, 41, 167 -174.
AMA StyleMassimo Cicognani. The propagation of the analytic regularity in nonlinear hyperbolic equations with constant multiplicity. ANNALI DELL'UNIVERSITA' DI FERRARA. 1996; 41 (S1):167-174.
Chicago/Turabian StyleMassimo Cicognani. 1996. "The propagation of the analytic regularity in nonlinear hyperbolic equations with constant multiplicity." ANNALI DELL'UNIVERSITA' DI FERRARA 41, no. S1: 167-174.
Massimo Cicognani; Luisa Zanghirati. Nonlinear weakly hyperbolic equations with Levi condition in Gevrey classes. Tsukuba Journal of Mathematics 2001, 25, 85 -102.
AMA StyleMassimo Cicognani, Luisa Zanghirati. Nonlinear weakly hyperbolic equations with Levi condition in Gevrey classes. Tsukuba Journal of Mathematics. 2001; 25 (1):85-102.
Chicago/Turabian StyleMassimo Cicognani; Luisa Zanghirati. 2001. "Nonlinear weakly hyperbolic equations with Levi condition in Gevrey classes." Tsukuba Journal of Mathematics 25, no. 1: 85-102.
Alessia Ascanelli; Massimo Cicognani. Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators. 2006, 23 -41.
AMA StyleAlessia Ascanelli, Massimo Cicognani. Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators. . 2006; ():23-41.
Chicago/Turabian StyleAlessia Ascanelli; Massimo Cicognani. 2006. "Well-Posedness of the Cauchy Problem for Some Degenerate Hyperbolic Operators." , no. : 23-41.