On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces II.
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces I.
Application of Rothe's method to perturbed linear hyperbolic equations and variational inequalities
A generalized maximum principle and estimates of max vrai for nonlinear parabolic boundary value problems
Stabilization of solutions of abstract parabolic equations
Method of Rothe and nonlinear parabolic boundary value problems of arbitrary order
Smoothing effect and regularity for linear parabolic equations
On existence of the weak solution for non-linear partial differential equations of elliptic type. II.
On existence of the weak solution for non-linear partial differential equations of elliptic type
Application of Rothe's method to nonlinear evolution equations
On -convergence of Rothe’s method
Nonlinear parabolic equations with the mixed nonlinear and nonstationary boundary conditions
On the solution of a generalized system of von Kármán equations
A nonlinear system of equations generalizing von Kármán equations is studied. The existence of a solution is proved and the relation between the solutions of the considered system and the solutions of von Kármán system is studied. The system considered is derived in a former paper by Lepig under the assumption of a nonlinear relation between the intensity of stresses and deformations in the constitutive law.
On boundedness of the weak solution for some class of quasilinear partial differential equations
Solution of porous medium type systems by linear approximation schemes.
On an approximate solution for quasilinear parabolic equations
Functions of measures and a variational problem of the type of the nonparametric minimal surface
Direct variational methods in nonreflexive spaces
Application of Rothe's method to parabolic variational inequalities
On the solution of some inverse problems in infiltration
In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE solver LSODA....
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