Results 61 to 70 of about 40,833 (232)
A trajectorial approach to entropy dissipation for degenerate parabolic equations [PDF]
, 2022 Donghan Kim, Lane Chun Yeung
openalex +1 more source
The cauchy problem of a degenerate parabolic equation
Monatshefte f�r Mathematik, 1977 This note is concerned with the existence of a weak solution for a degenerate Cauchy problem of parabolic type in then-dimensional spaceRn. The degenerate property is in the sense that the matrix (aij(t,x)) involved in the differential operator is not necessarily positive definite.
openaire +1 more source
First-Order Regular and Degenerate Identification Differential Problems
Abstract and Applied Analysis, 2015 We are concerned with both regular and degenerate first-order identification problems related to systems of differential equations of weakly parabolic type in Banach spaces. Several applications to partial differential equations and systems will be given
A. Favini, A. Lorenzi, H. Tanabe
doaj +1 more source
On the structure of entropy solutions to the Riemann problem for a degenerate nonlinear parabolic equation [PDF]
, 2023 Evgeny Yu. Panov
openalex +1 more source
On the Cauchy Problem of a Quasilinear Degenerate Parabolic Equation [PDF]
Discrete Dynamics in Nature and Society, 2009 By Oleinik′s line method, we study the existence and the uniqueness of the classical solution of the Cauchy problem for the following equation in [0, T] × R2: ∂xxu + u∂yu − ∂tu = f(⋅, u), provided that T is suitable small. Results of numerical experiments are reported to demonstrate that the strong solutions of the above equation may blow up in ...
Zongqi Liang, Huashui Zhan
openaire +3 more sources
Electronic Journal of Differential Equations, 2018 This article shows Carleman estimate and null controllability of a cascade control system governed by the semilinear degenerate parabolic equations with the general convection terms.
Jianing Xu, Chunpeng Wang, Yuanyuan Nie
doaj
Almost Periodicity and Degenerate Parabolic Equations
Rocky Mountain Journal of Mathematics, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Null controllability of a coupled system of degenerate parabolic equations with lower order terms
Electronic Journal of Differential Equations, 2019 This article concerns the null controllability of a control system governed by coupled degenerate parabolic equations with lower order terms. For these equations, the convection terms cannot be controlled by the diffusion terms.
Jianing Xu, Qian Zhou, Yuanyuan Nie
doaj
The Asymptotic Behavior of the Solutions of Degenerate Parabolic Equations [PDF]
Transactions of the American Mathematical Society, 1987 Existence of stationary states is established by means of the method of upper and lower solutions. The structure of the solution set is discussed and a uniqueness property for certain classes is proved by a generalized maximum principle. It is then shown that all solutions of the parabolic equation converge to a stationary state.
BANDLE C, POZIO M. A, TESEI, Alberto
openaire +3 more sources
Uniqueness results for convex Hamilton-Jacobi equations under $p>1$ growth conditions on data [PDF]
, 2008 Unbounded stochastic control problems may lead to Hamilton-Jacobi-Bellman equations whose Hamiltonians are not always defined, especially when the diffusion term is unbounded with respect to the control.
Da Lio, Francesca, Ley, Olivier
core +2 more sources