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A note on optimal domains in a reaction-diffusion problem

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Publication:1066356
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DOI10.4171/ZAA/146zbMath0578.35046MaRDI QIDQ1066356

Catherine Bandle

Publication date: 1985

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

Dirichlet problemupper and lower solutionsreaction-diffusionestimateoptimal domains


Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Existence theories for optimal control problems involving partial differential equations (49J20) Chemical kinetics in thermodynamics and heat transfer (80A30)


Related Items (3)

The effectiveness factor of reaction-diffusion equations: homogenization and existence of optimal Pellet shapes ⋮ Dead cores and effectiveness of semilinear reaction-diffusion systems ⋮ On the asymptotic limit of the effectiveness of reaction-diffusion equations in periodically structured media




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