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- W2067701608 abstract "This paper deals essentially with a nonlinear degenerate evolution equation of the form<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>K</mml:mi><mml:msup><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mo>″</mml:mo></mml:mrow></mml:msup><mml:mo>-</mml:mo><mml:mi mathvariant=normal>Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=false>∑</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msubsup><mml:mrow><mml:msub><mml:mrow><mml:mi>b</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow><mml:mfenced separators=|><mml:mrow><mml:mo>∂</mml:mo><mml:msup><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>′</mml:mi></mml:mrow></mml:msup><mml:mo>/</mml:mo><mml:mo>∂</mml:mo><mml:msub><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mi>j</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfenced><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mfenced open=| close=| separators=|><mml:mrow><mml:mi>u</mml:mi></mml:mrow></mml:mfenced></mml:mrow><mml:mrow><mml:mi>σ</mml:mi></mml:mrow></mml:msup><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>supplemented with nonlinear boundary conditions of Neumann type given by<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi>∂</mml:mi><mml:mi>u</mml:mi><mml:mo>/</mml:mo><mml:mi>∂</mml:mi><mml:mi>ν</mml:mi><mml:mo>+</mml:mo><mml:mi>h</mml:mi><mml:mfenced separators=|><mml:mrow><mml:mo>·</mml:mo><mml:mo>,</mml:mo><mml:mi> </mml:mi><mml:msup><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>′</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:mfenced><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>. Under suitable conditions the existence and uniqueness of solutions are shown and that the boundary damping produces a uniform global stability of the corresponding solutions." @default.
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- W2067701608 date "2015-01-01" @default.
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- W2067701608 title "On a Nonlinear Degenerate Evolution Equation with Nonlinear Boundary Damping" @default.
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- W2067701608 doi "https://doi.org/10.1155/2015/281032" @default.
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