Displaying similar documents to “Maximal Monotonicity of Operators with Sufficiently Large Domain and Application to the Hartree Problem.”

An existence result for nonlinear evolution equations of second order

Dimitrios A. Kandilakis (1996)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we consider a second order differential equation involving the difference of two monotone operators. Using an auxiliary equation, a priori bounds and a compactness argument we show that the differential equation has a local solution. An example is also presented in detail.

On the maximality of the sum of two maximal monotone operators.

Hassan Riahi (1990)

Publicacions Matemàtiques

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In this paper we deal with the maximal monotonicity of A + B when the two maximal monotone operators A and B defined in a Hilbert space X are satisfying the condition: U λ (dom B - dom A) is a closed linear subspace of X.

Periodic solutions for quasilinear vector differential equations with maximal monotone terms

Nikolaos C. Kourogenis, Nikolaos S. Papageorgiou (1997)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.

Lectures on maximal monotone operators.

R. R. Phelps (1997)

Extracta Mathematicae

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These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.