{"product_id":"unique-continuation-properties-for-partial-differential-equations-9783031863653","title":"Unique Continuation Properties for Partial Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003e- 1. Introduction.- \u003cstrong\u003ePart I: The Sobolev Spaces and the Boundary Value Problems.\u003c\/strong\u003e- 2. Main notations and basic formulas.- 3. Overview of measure theory and functional analysis.- 4. Notes on the distribution theory and Fourier transform.- 5. The Sobolev spaces.- 6. The boundary value problems for second–order elliptic equations and the Dirichlet to Neumann map.- \u003cstrong\u003ePart II: Cauchy Problem for PDEs and Stability Estimates\u003c\/strong\u003e.- 7. The Cauchy problem for the first–order PDEs.- 8. Real analytic functions.- 9. The Cauchy problem for PDEs with analytic coefficients.- 10. Uniqueness for an inverse problem.- 11. The Hadamard example. Solvability of the Cauchy problem and continuous dependence by the data.- 12. Ill–posed problems. Conditional stability.- 13. The John stability Theorem for the Cauchy problem for PDEs with analytic coefficients.- \u003cstrong\u003ePart III: Carleman Estimates and Unique Continuation Properties\u003c\/strong\u003e.- 14. Carleman estimates: a first look with simple examples and basic applications.- 15. Carleman estimates and the Cauchy problem for operators with ??∞ coefficients in the principal part.- 16. Carleman estimates for reduced regularity coefficients.- 17. Carleman estimates for second–order operators with real coefficients in the principal part.- 18. Optimal three sphere and doubling inequality for second–order elliptic equations.- 19. Miscellanea.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":53195457691991,"sku":"9783031863653","price":85.49,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/unique-continuation-properties-for-partial-differential-equations-9783031863653","provider":"Book Curl","version":"1.0","type":"link"}