Results 11 to 20 of about 1,264,456 (207)

ON THE GLOBAL EXISTENCE OF SOLUTIONS TO QUASILINEAR PARABOLIC EQUATIONS [PDF]

Glasgow Mathematical Journal, 2004
The subject of the paper is the following quasilinear parabolic problem (P): \[ u_t - \text{div\,} (a(t,x,u) \nabla u) = f(t,x,u, \nabla u) \qquad \text{for} \quad t>0, \; x \in \Omega, \] \[ u(t,x) = 0 \quad \text{for} \quad t>0, \; x \in \partial \Omega, \qquad u(0,x) = \varphi (x) \quad \text{for} \quad x \in \bar \Omega.
Yin, Zhaoyang,, Lund University.
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A priori estimates for quasilinear degenerate parabolic equations [PDF]

Proceedings of the American Mathematical Society, 2002
We prove some maximum and gradient estimates for classical solutions to a wide class of quasilinear degenerate parabolic equations, including first order ones. The proof is elementary and exploits the smallness of the domain in the time direction.
Manfredini M., Pascucci A.
openaire   +5 more sources

Null-controllability for 1-D degenerate quasilinear parabolic equations [PDF]

Electronic Journal of Differential Equations
In this article, we prove local null-controllability for  one-dimensional degenerate quasilinear parabolic equations. We apply  a well-known local inversion argument used by Fursikov and Imanuvilov.  The strategy is to use Carleman estimates, previously
Pitágoras de Carvalho, Reginaldo Demarque, Juan Límaco, Luiz Viana   +3 more
doaj   +4 more sources

Monotone economical schemes for quasilinear parabolic equations

Mathematical Modelling and Analysis, 2002
In order to approximate a multidimensional quasilinear parabolic equation with unlimited nonlinearity the economical vector‐additive scheme is constructed.
N. V. Dzenisenko, A. P. Matus, P. P. Matus   +2 more
doaj   +4 more sources

Existence of solutions for quasilinear parabolic equations at resonance [PDF]

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
doaj   +1 more source

Constrained Evolution for a Quasilinear Parabolic Equation [PDF]

Journal of Optimization Theory and Applications, 2016
Key words: feedback control, quasilinear parabolic equation, monotone nonlinearities, convex ...
Colli, Pierluigi, Gilardi, Gianni, Sprekels, Jürgen   +2 more
openaire   +7 more sources

Well-posedness and stationary solutions [PDF]

, 2011
In this paper we prove existence and uniqueness of variational inequality solutions for a bistable quasilinear parabolic equation arising in the theory of solid-solid phase transitions and discuss its stationary solutions, which can be ...
Grinfeld, Michael, Burns, Martin
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The adapted solution and comparison theorem for backward stochastic differential equations with Poisson jumps and applications [PDF]

, 2008
This paper deals with a class of backward stochastic differential equations with Poisson jumps and with random terminal times. We prove the existence and uniqueness result of adapted solution for such a BSDE under the assumption of non-Lipschitzian ...
Mao, Xuerong, NSF of Guangdong Province (Funder), Yin, Juliang   +2 more
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A note on quasilinear parabolic equations on manifolds

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012
We prove short time existence, uniqueness and continuous dependence on the initial data of smooth solutions of quasilinear locally parabolic equations of arbitrary even order on closed manifolds.
Mantegazza Carlo Maria, LUCA MARTINAZZI
openaire   +8 more sources

Global solutions for quasilinear parabolic problems

, 2002
Results on the global existence of classical solutions for quasilinear parabolic equations in bounded domains with homogeneous Dirichlet or Neumann boundary conditions are presented.
Constantin, Adrian,, Escher, J, Lund University.   +2 more
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