Existence of solutions for wave-type hemivariational inequalities with noncoercive viscosity damping

DOI10.1016/S0022-247X(02)00057-4zbMath1003.49005WikidataQ112251864 ScholiaQ112251864MaRDI QIDQ697432

MacIej Smołka, Leszek Gasiński

Publication date: 17 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

hemivariational inequalitiesClarke subdifferentialsine-Gordon equationsviscosity damping

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonsmooth analysis (49J52) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (6)

Evolution hemivariational inequalities with hysteresis ⋮ Vanishing viscosity for hemivariational inequalities modeling dynamic problems in elasticity ⋮ Periodic solutions for nonlinear nonmonotone evolution inclusions ⋮ Decay of energy for second-order boundary hemivariational inequalities with coercive damping ⋮ Evolution hemivariational inequality with hysteresis operator in higher order term ⋮ Nonlinear second order evolution inclusions with noncoercive viscosity term

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Existence results for second-order nonlinear evolution inclusions
• Existence of solutions and periodic solutions for nonlinear evolution inclusions
• On the existence of solutions for nonlinear parabolic problems with nonmonotone discontinuities
• Infinite-dimensional dynamical systems in mechanics and physics.
• Existence of solutions for hyperbolic hemivariational inequalities
• On numerical solution of hemivariational inequalities by nonsmooth optimization methods
• Modelling of nonconvex nonsmooth energy problems. Dynamic hemivariational inequalities with impact effects
• A note on Gronwall-Bellman inequality
• Coercive and semicoercive hemivariational inequalities
• Eigenvalue problems for variational-hemivariational inequalities at resonance
• Monotonicity methods for nonlinear evolution equations
• A parabolic hemivariational inequality
• Nonconvex Problems of Semipermeable Media and Related Topics
• Set-valued analysis
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