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In this work we develop a method towards unique solvability of abstract semilinear equations. We use a global diffeomorphism theorem for which we provide a simplified proof. Applications to second… Click to show full abstract
In this work we develop a method towards unique solvability of abstract semilinear equations. We use a global diffeomorphism theorem for which we provide a simplified proof. Applications to second order partial differential equations are given. Some additional technical tools about the properties of the Niemytskij operator are also given.
Keywords:
diffeomorphism theorem;
global diffeomorphism;
abstract semilinear;
solvability abstract;
semilinear equations
Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!