Results 21 to 30 of about 40,292 (276)

Lp Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems

Discrete Dynamics in Nature and Society, 2017
This paper is devoted to the Lp estimates for weak solutions to nonlinear degenerate parabolic systems related to Hörmander’s vector fields. The reverse Hölder inequalities for degenerate parabolic system under the controllable growth conditions and ...
Na Wei, Xiangyu Ge, Yonghong Wu, Leina Zhao   +3 more
doaj   +1 more source

On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system

Boundary Value Problems, 2019
This paper focuses on a degenerate boundary value problem arising from the study of the two-dimensional Riemann problem to the nonlinear wave system.
Jiajia Liu, Yanbo Hu, Tiehong Zhao
doaj   +1 more source

Parabolic resonances and instabilities in near-integrable two degrees of freedom Hamiltonian flows [PDF]

, 1996
When an integrable two-degrees-of-freedom Hamiltonian system possessing a circle of parabolic fixed points is perturbed, a parabolic resonance occurs. It is proved that its occurrence is generic for one parameter families (co-dimension one phenomenon) of
Haller G., Haller G., Holmes P., Jullian P., Kaper T., Koltsova O. Yu., Kovacic G., Lebovitz N. R., Lerman L. M., Mareé G. J. M., Paldor N., Paldor N., Rom-Kedar V., Shlesinger M. F., Vered Rom-Kedar   +14 more
core   +2 more sources

Path Integral Approach for Superintegrable Potentials on Spaces of Non-constant Curvature: II. Darboux Spaces DIII and DIV [PDF]

, 2006
This is the second paper on the path integral approach of superintegrable systems on Darboux spaces, spaces of non-constant curvature. We analyze in the spaces $\DIII$ and $\DIV$ five respectively four superintegrable potentials, which were first given ...
A. Mostafazadeh, A. N. Sissakian, A. Ushveridze, B. Bagchi, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. Grosche, C. M. Bender, Ch. Grosche, D. Peak, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, E. G. Kalnins, F. Cannata, G. Koenigs, G. S. Pogosyan, H. Kleinert, I. S. Gradshteyn, I. V. Lutsenko, J. Fris, L. S. Schulman, M. A. Olmo Del, M. Böhm, M. N. Olevskii, M. Znojil, M. Znojil, M. Znojil, N. W. Evans, P. Winternitz, R.P. Feynman, S. Wojciechowski   +49 more
core   +3 more sources

Null controllability of a semilinear degenerate parabolic equation with a gradient term

Boundary Value Problems, 2020
This paper concerns the null controllability of a semilinear control system governed by degenerate parabolic equation with a gradient term, where the nonlinearity of the problem is involved with the first derivative. We first establish the well-posedness
Fengdan Xu, Qian Zhou, Yuanyuan Nie
doaj   +1 more source

A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations

Abstract and Applied Analysis, 2011
We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain.
Jiebao Sun, Dazhi Zhang, Boying Wu
doaj   +1 more source

Embedding Operators in Vector-Valued Weighted Besov Spaces and Applications

Journal of Function Spaces and Applications, 2012
The embedding theorems in weighted Besov-Lions type spaces 𝐵𝑙,𝑠𝑝,𝑞,𝛾 (Ω;𝐸0,𝐸) in which 𝐸0,𝐸 are two Banach spaces and 𝐸0⊂𝐸 are studied. The most regular class of interpolation space 𝐸𝛼 between 𝐸0 and E is found such that the mixed differential operator ...
Veli Shakhmurov
doaj   +1 more source

A system of nonlinear degenerate parabolic equations.

Journal für die reine und angewandte Mathematik (Crelles Journal), 1986
Existence, uniqueness, regularity and asymptotic behavior results are proved for the coupled system of degenerate parabolic equations \[ u^ i_ t(t,x)=k_ iu^ i(t,x)K(P(t,x))P_{xx}(t,x), \] \[ P(t,x)=\sum^{N}_{1}u^ i(t,x),\quad u^ i(t,0)=u^ i(t,1)=0,\quad u^ i(0,x)=u^ i_ 0(x) \] with \(i=1,2,...,N\), and (t,x)\(\in [0,T]\times [0,1]\). K is assumed to be
S. Busenberg, Iannelli, Mimmo
openaire   +4 more sources

Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of
Jawad Salhi
doaj   +1 more source

Multiplicative controllability for nonlinear degenerate parabolic equations between sign-changing states

, 2020
In this paper we study the global approximate multiplicative controllability for nonlinear degenerate parabolic Cauchy problems. In particular, we consider a one-dimensional semilinear degenerate reaction-diffusion equation in divergence form governed ...
Floridia, Giuseppe, Nitsch, Carlo, Trombetti, Cristina   +2 more
core   +1 more source