{"product_id":"gunter-hellwig-partial-differential-equations-9783519122135","title":"Partial Differential Equations","description":"1. Examples.- 1. Introduction.- 2. The Wave Equation.- 3. The Potential Equation.- 4. The Heat Equation.- 2. Classification into Types, Theory of Characteristics, and Normal Form.- 1. Differential Equations of the First Order.- 2. Systems of Differential Equations of the First Order.- 3. On the Necessity of Classification Into Types.- 3. Questions of Uniqueness.- 1. Elliptic and Elliptic-Parabolic Type.- 2. Parabolic Type.- 3. Hyperbolic Type.- 4. Mixed Type.- 4. Questions of Existence.- 1. Equations of Hyperbolic Type in Two Independent Variables.- 2. Boundary and Initial-Value Problems for Equations of Hyperbolic and Parabolic Type in Two Independent Variables.- 3. Equations of Elliptic Type.- 4. Weyl's Lemma for Equations of Elliptic Type.- 5. Simple Tools from Functional Analysis Applied to Questions of Existence.- 1. Auxiliary Tools.- 2. Schauder's Technique of Proof for Existence Problems in Elliptic Differential Equations.- 3. The Regular Eigenvalue Problem.- 4. Elliptic Systems of Differential Equations.- Solutions.","brand":"Vieweg+Teubner Verlag","offers":[{"title":"Default Title","offer_id":53762594865494,"sku":null,"price":0.0,"currency_code":"EUR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0925\/5829\/5382\/files\/product_image_9783519122135_1_519ed6e1-b0ff-42e2-ac83-042c376c1fdc.jpg?v=1791063080","url":"https:\/\/www.momoxbooks.com\/products\/gunter-hellwig-partial-differential-equations-9783519122135","provider":"momox","version":"1.0","type":"link"}