000			01713cam a22003977i 4500
999			_c194022 _d194022
020			_a9781461448082
040			_cCUS
082			_a515.353 _bJOS/P
100	1		_aJost, Jürgen,
245	1	0	_aPartial differential equations / _cJürgen Jost.
250			_a3rd ed.
260			_aNew York: _bSpringer, _c2013.
300			_axiii, 410 p. _c24 cm.
504			_aIncludes bibliographical references and index.
505			_a1 The Laplace equation as the Prototype of an Elliptic Partial Differential Equation of Second Order.- 2 The Maximum Principle.- 3 Existence Techniques I: Methods Based on the Maximum Principle.- 4 Existence Techniques II: Parabolic Methods. The Heat Equation.- 5 Reaction-Diffusion Equations and Systems.- 6 Hyperbolic Equations.- 7 The Heat Equation, Semi groups, and Brownian Motion.- 8 Relationships between Different Partial Differential Equations.- 9 The Dirichlet Principle. Variational Methods for the Solutions of PDEs (Existence Techniques III). - 10 Sobolev Spaces and L^2 Regularity theory.- 11 Strong solutions.- 12 The Regularity Theory of Schauder and the Continuity Method (Existence Techniques IV).- 13The Moser Iteration Method and the Regularity Theorem of de Giorgi and Nash.- Appendix: Banach and Hilbert spaces.
650		0	_aDifferential equations, Partial.
942			_cWB16