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Related articles in Web of Science Google Scholar. Citing articles via Web of Science 7. Latest Most Read Most Cited Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems. We first focus our attention on the loss of Landesman-Lazer type conditions, and even in that situation, we are able to prove the existence of infinitely many resonant solutions and infinitely many turning points.
Next we focus our attention on stability switches. Even in the absence of resonant solutions, we are able to provide sufficient conditions for the existence of sequences of stable solutions, unstable solutions, and turning points. We also discuss on bifurcation from the trivial solution set, and on a sublinear oscillatory nonlinearity.
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Finally, we states a formula for the derivative of a localized Steklov eigenvalue on a subset of the boundary, with respect to tangential variations of that subset. Keywords: Bifurcation from infinity, stability, instability, multiplicity, resonance, turning points.
Linear and Quasilinear Parabolic Problems - Volume II: Function Spaces | Herbert Amann | Springer
En el resto del articulo, analizamos no linealidades oscilatorias y sublineales. Partial Differential Equations 5 , no.
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Differential Equations 9 , no. Even though it is a powerful technique having found many applications, it is limited in its scope by the fact that, in concrete applications, it is closely tied to the maximum principle.
Linear and Quasilinear Parabolic Problems
Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons we do not include that theory.
Related Linear and Quasilinear Parabolic Problems: Volume I: Abstract Linear Theory
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