1 The Abstract Cauchy Problem.- 1. Well-Posedness of the Differential Cauchy Problem in C(E).- 1. The Cauchy problem in a Banach space E. Definition of well-posedness in C(E).- 2. Examples of well-posed and ill-posed problems in C(E).- 3. The homogeneous equation. Strongly continuous semigroups.- 4. The nonhomogeneous equation. Analytic semigroups.- 5. Well-posedness in C(E) of the general Cauchy problem.- 2. Well-Posedness of the Cauchy Problem inC0?(E).- 1. The homogeneous problem. The space C0?(E).- 2. Well-posedness in ...
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1 The Abstract Cauchy Problem.- 1. Well-Posedness of the Differential Cauchy Problem in C(E).- 1. The Cauchy problem in a Banach space E. Definition of well-posedness in C(E).- 2. Examples of well-posed and ill-posed problems in C(E).- 3. The homogeneous equation. Strongly continuous semigroups.- 4. The nonhomogeneous equation. Analytic semigroups.- 5. Well-posedness in C(E) of the general Cauchy problem.- 2. Well-Posedness of the Cauchy Problem inC0?(E).- 1. The homogeneous problem. The space C0?(E).- 2. Well-posedness in C0?(E) of the general Cauchy problem.- 3. Well-Posedness of the Cauchy Problem in Lp(E).- 1. Definition of the well-posedness of the Cauchy problem in LP(E).- 2. A formula for the solution of the Cauchy problem in Lp(E).- 3. Spaces of initial data.- 4. The values of the solution of the Cauchy problem in Lp(E) for fixed t.- 5. The coercivity inequality for the solutions in Lp(E) of the general problem (1.1).- 4. Well-Posedness of the Cauchy Problem in Lp(E?, Q).- 5. Well-Posedness of the Cauchy Problem in Spaces of Smooth Functions.- 1. The space C0???, ?(E). The nonhomogeneous problem.- 2. Well-posedness of the general problem.- 3. Semigroup estimates.- 4. The coercivity inequality for the general problem.- 2 The Rothe Difference Scheme.- 0. Stability of the Difference Problem.- 1. The difference problem.- 2. Banach spaces of grid functions.- 3. The operator equation in ?(E). Definition of the stability of the difference scheme.- 4. Stability of the difference scheme.- 1. Well-Posedness of the Difference Problem in C(E).- 1. The homogeneous difference problem.- 2. The nonhomogeneous problem. A real-field criterion for analyticity.- 3. An almost coercive inequality in C(E).- 2. Well-Posedness of the Difference Problem in C0?(E).- 3. Well-Posedness of the Difference Problem in Lp(E).- 1. Definition of the well-posedness of the difference problem in LP(E).- 2. Spaces of initial data.- 3. The coercivity inequality for the solutions in LP(E) of the general problem (0.6).- 4. Well-Posedness of the Difference Problem in Lp(E?, Q).- 1. Strongly positive operators and fractional spaces.- 2. Well-posedness of the difference problem in Lp(E'?, q).- 5. Well-Posedness of the Difference Problem in Difference Analogues of Spaces of Smooth Functions.- 1. The space CQ'(E). The nonhomogeneous difference problem.- 2. Well-posedness of the general difference problem.- 3. Estimates for powers of the resolvent.- 4. The coercivity inequality for the general problem.- 3 Pad??? Difference Schemes.- 0. Stability of the Difference Problem.- 1. Pad??? approximants of the function e-z.- 2. Difference schemes of Pad??? class.- 1. Well-Posedness of the Difference Problem in C(E).- 1. The homogeneous problem.- 2. The nonhomogeneous problem.- 3. Sufficient conditions for almost-well-posedness. A real-field criterion for analyticity.- 4. Estimates of powers of the operator step.- 2. Well-Posedness of the Difference Problem in C0?(E).- 1. The case of a general space C0?(E).- 2. The case of the special space C0? (E).- 3. Well-Posedness of the Difference Problem in Lp(E).- 1. Definition of the well-posedness of the difference problem in Lp(E). Stability of the difference problem.- 2. Spaces of initial data. Well-posedness of the difference problem.- 3. Estimates of powers of the operator step.- 4. Well-Posedness of the Difference Problem in Lp(E'?, Q).- 1. Stability of the difference problem.- 2. Well-posedness of the difference problem.- 5. Well-Posedness of the Difference Problem in Difference Analogues of Spaces of Smooth Functions.- 1. Well-posedness of the difference problem in C0???, ? (E).- 2. Estimates of powers of the operator step. The coercivity inequality for the general problem.- 4 Difference Schemes for Parabolic Equations.- 1. Elliptic Difference Operators with Constant Coefficients.- 1. The definition of an elliptic difference operator and properties of its symbol.- 2. A formula for the solution of
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Fine. Sewn binding. Cloth over boards. 368 p. Contains: Unspecified. Icsell, 69. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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New. Sewn binding. Cloth over boards. 368 p. Contains: Unspecified. Icsell, 69. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
