Results 11 to 20 of about 11,623,619 (358)
On the Cauchy problem generalization
Lietuvos Matematikos Rinkinys, 1998 An algorithm presented in the paper is oriented for computer realization.
Zenonas Navickas
doaj +3 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj +1 more source
Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential [PDF]
, 2014 We review different properties related to the Cauchy problem for the (nonlinear) Schrodinger equation with a smooth potential. For energy-subcritical nonlinearities and at most quadratic potentials, we investigate the necessary decay in space in order ...
Carles, Rémi
core +1 more source
Singularly perturbed linear oscillator with piecewise-constant argument
Вестник КазНУ. Серия математика, механика, информатика, 2018 The Cauchy problem for singularly perturbed linear differential equation the second order with piecewise-constant argument is considered in the article.
M. U. Akhmet +3 more
doaj +1 more source
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
doaj +1 more source
On completeness of orbits of Killing vector fields [PDF]
, 1993 A Theorem is proved which reduces the problem of completeness of orbits of Killing vector fields in maximal globally hyperbolic, say vacuum, space--times to some properties of the orbits near the Cauchy surface. In particular it is shown that all Killing
Brill D +15 more
core +3 more sources
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017 In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj +1 more source
The Cauchy problem for the Pavlov equation [PDF]
, 2014 Commutation of multidimensional vector fields leads to integrable nonlinear dispersionless PDEs arising in various problems of mathematical physics and intensively studied in the recent literature.
Grinevich, P. G., Santini, P. M., Wu, D.
core +1 more source
Explicit solution of Cauchy problem for the linearized system of phase field equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The explicit solution of Cauchy problem for the linearized system of phase field equations is received by reduction it to the abstract Cauchy problem in Banach space.
Kh. G. Umarov
doaj +3 more sources
Remarks on the Cauchy problem for the axisymmetric Navier-Stokes equations [PDF]
, 2015 Motivated by applications to vortex rings, we study the Cauchy problem for the three-dimensional axisymmetric Navier-Stokes equations without swirl, using scale invariant function spaces.
T. Gallay, V. Sverák
semanticscholar +1 more source