TY  - BOOK
AU  - Logan, J. David
TI  - Applied Partial Differential Equations
SN  - 9783319124926
U1  - 515.353 
PY  - 2015///
CY  - New York
PB  - Springer
KW  - Differential equations, Partial	
KW  - Mathematics	
N1  - 1: The Physical Origins of Partial Differential Equations.-

1.1 PDE Models.- 

1.2 Conservation Laws.- 

1.3 Diffusion.- 

1.4 Diffusion and Randomness.- 

1.5 Vibrations and Acoustics.- 

1.6 Quantum Mechanics*.- 

1.7 Heat Conduction in Higher Dimensions.- 

1.8 Laplace's Equation.- 

1.9 Classification of PDEs.- 

2. Partial Differential Equations on Unbounded Domains.-

 2.1 Cauchy Problem for the Heat Equation.-

2.2 Cauchy Problem for the Wave Equation.- 

2.3 Well-Posed Problems.- 

2.4 Semi-Infinite Domains.- 

2.5 Sources and Duhamel's Principle.- 

2.6 Laplace Transforms.- 

2.7 Fourier Transforms.- 

3. Orthogonal Expansions.- 

3.1 The Fourier Method.- 

3.2 Orthogonal Expansions.-

 3.3 Classical Fourier Series.-

4. Partial Differential Equations on Bounded Domains.-

4.1 Overview of Separation of Variables.-

 4.2 Sturm-Liouville Problems - 

4.3 Generalization and Singular Problems.- 

4.4 Laplace's Equation.- 

4.5 Cooling of a Sphere.- 

4.6 Diffusion inb a Disk.- 

4.7 Sources on Bounded Domains.-

4.8 Poisson's Equation*.-

5. Applications in the Life Sciences.-

5.1 Age-Structured Models.-

 5.2 Traveling Waves Fronts.- 

5.3 Equilibria and Stability
UR  - https://link.springer.com/book/10.1007/978-3-319-12493-3
ER  -