Necessary and sufficient conditions for the well-posedness of the Cauchy problem for a class of hyperbolic operators with triple characteristics

1990 ◽  
Vol 54 (1) ◽  
pp. 21-59 ◽  
Author(s):  
E. Bernardi ◽  
A. Bove
Keyword(s):  
Cauchy Problem ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Well Posedness ◽  
Hyperbolic Operators ◽  
The Cauchy Problem ◽  
Necessary And Sufficient

On stabilisation of solutions of the Cauchy problem for parabolic equations

1976 ◽  
Vol 76 (1) ◽  
pp. 43-53 ◽  
Author(s):  
S. Kamin (Kamenomostskaya)
Keyword(s):  
Cauchy Problem ◽  
Parabolic Equations ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
The Cauchy Problem ◽  
Image Position ◽  
Necessary And Sufficient

SynopsisThe author considers the solution of the Cauchy problem for an equationgiving necessary and sufficient conditions for the existence of

Levitin-Polyak well-posedness for parametric quasivariational inclusion and disclusion problems

2018 ◽  
Vol 34 (3) ◽  
pp. 295-303
Author(s):  
PANATDA BOONMAN ◽  
◽  
RABIAN WANGKEEREE ◽  
Keyword(s):  
Equilibrium Problem ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Well Posedness ◽  
Quasiequilibrium Problems ◽  
Necessary And Sufficient

In this paper, we aim to suggest the new concept of Levitin-Polyak (for short, LP) well-posedness for the parametric quasivariational inclusion and disclusion problems (for short, (QVIP) (resp. (QVDP))). Necessary and sufficient conditions for LP well-posedness of these problems are proved. As applications, we obtained immediately some results of LP well-posedness for the quasiequilibrium problems and for a scalar equilibrium problem.

scholarly journals Some Mathematical Aspects of f(R)-Gravity with Torsion: Cauchy Problem and Junction Conditions

Universe ◽  
2019 ◽  
Vol 5 (12) ◽  
pp. 224 ◽  
Author(s):  
Stefano Vignolo
Keyword(s):  
Cauchy Problem ◽  
Initial Value Problem ◽  
Sufficient Conditions ◽  
Well Posedness ◽  
Junction Conditions ◽  
Field Equations ◽  
Initial Value ◽  
The Cauchy Problem ◽  
General Conditions

We discuss the Cauchy problem and the junction conditions within the framework of f ( R ) -gravity with torsion. We derive sufficient conditions to ensure the well-posedness of the initial value problem, as well as general conditions to join together on a given hypersurface two different solutions of the field equations. The stated results can be useful to distinguish viable from nonviable f ( R ) -models with torsion.

Sign in / Sign up

Export Citation Format

Share Document