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Qualitative and Topological Properties of Some Partial Differential Equations

Moameni, Abbas | 2004

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 40608 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Hesaaraki, Mahmoud
  7. Abstract:
  8. This thesis is devoted to prove the existance of solution and structure of solu­ tion for some partial differential equations by using some modern topological and variational thechniques. Taking direction from the literature, this thesis is interested in existence, uniqueness, blow-up in finite time for some evolution equations, multiplicity and radial solution for certain elliptic partial differential equations.-Employing Fibrering, Galerkins, Mountain Pass-Lemma and lions com­ pactness Lemma are sharp in this thesis to prove the exsistence and multiplicity of solutions and overcome lack of compactness in some cases
  9. Keywords:
  10. Finite Time Blow-Up ; Existence ; Uniqueness ; Multiplicity ; Evolution Equation

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