This book deals with the determination of qualitative estimates for solutions of partial differential equations subject to boundary and/or initial conditions. It is suitable for senior undergraduates, first year postgraduates, and for others contemplating research in partial differential equations.
This book deals with the determination of qualitative estimates for solutions of partial differential equations subject to boundary and/or initial conditions. It is suitable for senior undergraduates, first year postgraduates, and for others contemplating research in partial differential equations.
Part I: Methodology 1. Preliminaries and Fundamental Issues 2. Estimates based on First Order Inequalities is Liapunov Direct Method 3. Estimates based on First Order Inequalities 2: Volume Integral Method 4. Estimates based on Second Order Inequalities 5. Identities Holding along Solutions to Partial Differential Equations: Lagrange Identity Method 6. Weighted Integral Methods Part II: Applications 7. Elliptic Equations 8. Parabolic Equations 9. Hyperbolic, Related Equations, and Others
Part I: Methodology 1. Preliminaries and Fundamental Issues 2. Estimates based on First Order Inequalities is Liapunov Direct Method 3. Estimates based on First Order Inequalities 2: Volume Integral Method 4. Estimates based on Second Order Inequalities 5. Identities Holding along Solutions to Partial Differential Equations: Lagrange Identity Method 6. Weighted Integral Methods Part II: Applications 7. Elliptic Equations 8. Parabolic Equations 9. Hyperbolic, Related Equations, and Others
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