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The BV solution of the parabolic equation with degeneracy on the boundary

100%

Zhan H., Chen S.

Open Mathematics

2016

tom 14

nr 1

272-282

Consider a parabolic equation which is degenerate on the boundary. By the degeneracy, to assure the well-posedness of the solutions, only a partial boundary condition is generally necessary. When 1 ≤ α < p – 1, the existence of the local BV solution is proved. By choosing some kinds of test functions, the stability of the solutions based on a partial boundary condition is established.

Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems

60%

Migórski S.

Open Mathematics

2012

tom 10

nr 6

1953-1968

We survey recent results on the mathematical modeling of nonconvex and nonsmooth contact problems arising in mechanics and engineering. The approach to such problems is based on the notions of an operator subdifferential inclusion and a hemivariational inequality, and focuses on three aspects. First we report on results on the existence and uniqueness of solutions to subdifferential inclusions. Then we discuss two classes of quasi-static hemivariational ineqaulities, and finally, we present ideas leading to inequality problems with multivalued and nonmonotone boundary conditions encountered in mechanics.

Ograniczanie wyników

2 Open Mathematics

1 Chen S.

1 Migórski S.

1 Zhan H.

1 2016

1 2012

Wyniki wyszukiwania

The BV solution of the parabolic equation with degeneracy on the boundary

Subdifferential inclusions and quasi-static hemivariational inequalities for frictional viscoelastic contact problems