Intereting Posts

Differentiating an infinite sum
Direct products of infinite groups
Is $\ln(x)$ ever greater than $x$?
Proof of Hasse-Minkowski over Number Field
Is $f(z)=\exp (-\frac{1}{z^4})$ holomorphic?
$x^{2000} + \frac{1}{x^{2000}}$ in terms of $x + \frac 1x$.
if o(a) is equal to exponent of finite abelian group G then $G=<a>\times K$
eigenvalues of certain block matrices
Composition of Lebesgue measurable function $f$, with a continuous function $g$ having a certain property, is Lebesgue measurable
probability circle determined by chord determined by two random points is enclosed in bigger circle
Show that $\mathbb{A}^n$ on the Zariski Topology is not Hausdorff, but it is $T_1$
Integral $\int_0^{\pi/2} \frac{\sin^3 x\log \sin x}{\sqrt{1+\sin^2 x}}dx=\frac{\ln 2 -1}{4}$
Proof by Induction:
How to prove that the converse of Lagrange's theorem is not true?
Best approximation in a Hilbert space

As the title, are there any good reference texts for introduction to partial differential equation?

- Is Lipschitz's condition necessary for existence of unique solution of an I.V.P.?
- Spectral Measures: References
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- Known bounds and values for Ramsey Numbers
- Variation under constraint
- Parabolic subgroups of $\mathrm{Sl}_n$ are the ones that stabilize some flag
- What is an alternative book to oksendal's stochastic differential equation: An introduction?
- A good reference to begin analytic number theory
- Mathematics applied to biology
- Suggestions for a learning roadmap for universal algebra?

I think the answer to your question depends on whether you’re more interested in the theory of partial differential equations or in how to compute the solutions to concrete equations.

At a more theoretical level you can try Ronald Evans’ Partial Differential Equations: Second Edition (Graduate Studies in Mathematics). This is one of the most complete textbooks on PDEs around, I think.

On the more practical side, you can try Polyanin’s Handbook of Partial Differential Equations. This is more of a solution recipe book, but has interesting tips and ideas on how to tackle a large number of problems.

I would recommend “Partial Differential Equations with Fourier Series and Boundary Value Problems” written by Asmar. It is a text for beginners in the subject, but eventually it gets very far, to a thorough treatment of Green’s functions. It does also include a lot of material on Bessels functions.

- Proving :$\frac{1}{2ab^2+1}+\frac{1}{2bc^2+1}+\frac{1}{2ca^2+1}\ge1$
- Surjective Maps and right cancellation
- Proof: $ \int^{\infty}_{-\infty}\delta(t)^2 dt = 1 ??$
- Circle revolutions rolling around another circle
- Solve $XA + A^T = I$ for $X$
- Understanding the solution of $\int\left(1-x^{p}\right)^{\frac{n-1}{p}}\log\left(1-x^{p}\right)dx$
- Could I see that the tensor product is right-exact using its universal property and the Yoneda lemma?
- Are there any number $n$ such that $a_n = 0 \mod (2n + 1) $ where $a_0 = 1, a_1 = 4, a_{n + 2}=3 a_{n + 1} – a_{n}$?
- Properties of $||f||_{\infty}$ – the infinity norm
- Evaluating the limit: $\lim\limits_{x \to \infty} \sum\limits_{n=1}^{\infty} (-1)^{n-1}\frac{x^{2n-1}}{(2n)! \log (2n)}$
- Where is Cauchy's wrong proof?
- Poincaré Duality with de Rham Cohomology
- The group of invertible fractional ideals of a Noetherian domain of dimension 1
- Are there infinitely many natural numbers $n$ such that $\mu(n)=\mu(n+1)=\pm 1$?
- How to solve this equation for $x$ with XOR involved?