A note on the approximation of free boundaries by finite element methods
A note on the Cahn-Hilliard equation in involving critical exponent
We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).
A note on the convexity theorem for mean values of subtemperatures.
A note on the existence of solution for semilinear heat equations with polynomial growth nonlinearity
The existence of weak solution for periodic-Dirichlet problem to semilinear heat equations with superlinear growth non-linear term is treated.
A Note on the Numerical Solution of a Fourth-Order Parabolic Partial Differential Equation
A note on the paper of Y. Naito
This note contains some remarks on the paper of Y. Naito concerning the parabolic system of chemotaxis and published in this volume.
A note on the parabolic differential and difference equations.
A note on the parabolic variation
A condition for solvability of an integral equation which is connected with the first boundary value problem for the heat equation is investigated. It is shown that if this condition is fulfilled then the boundary considered is -Holder. Further, some simple concrete examples are examined.
A note on estimates for quasilinear parabolic equations.
A note to the theory of periodic solutions of a parabolic equation
A notion of renormahzed solution of the study of a general conservation law.
A Numerical Approach of the sentinel method for distributed parameter systems
In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.
A numerical method for solving heat equations involving interfaces.
A numerical method for solving the problem
A numerical scheme for the two phase Mullins-Sekerka problem.
A parabolic analogue of Finn's maximum principle.
A parabolic - elliptic variational inequality.
A parabolic quasilinear problem for linear growth functionals.
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.
A parabolic quasi-variational inequality arising in a superconductivity model
A parabolic system in a weighted Sobolev space
We examine the regularity of solutions of a certain parabolic system in the weighted Sobolev space , where the weight is of the form , r is the distance from a distinguished axis and μ ∈ (0,1).