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RESEARCH PRODUCT

Partial differential equations governed by accretive operators

José Manuel Mazón Ruiz

subject

Numerical AnalysisPure mathematicsConstant coefficientsControl and OptimizationApplied MathematicsMathematical analysisOperator theoryFourier integral operatorStochastic partial differential equationNonlinear systemDistributed parameter systemModeling and SimulationC0-semigroupNumerical partial differential equationsMathematics

description

The theory of nonlinear semigroups in Banach spaces generated by accretive operators has been very useful in the study of many nonlinear partial differential equations Such a theory is fundamentally based in the Crandall-Liggett Theorem and in the contributions of Ph. Benilan. In this paper, after outlining some of the main points of this theory, we present some of the applications to some nonlinear partial differential equations that appear in different fields of Science.

https://doi.org/10.1007/bf03322604